HCF of 65 and 117 ?
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Answer:
13
Step-by-step explanaNJ
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What is HCF of 65 and 117?
Answer:
HCF of 65 and 117 is 13.
HCF of 65 and 117
Explanation:
The HCF of two non-zero integers, x(65) and y(117), is the highest positive integer m(13) that divides both x(65) and y(117) without any remainder.
Methods to Find HCF of 65 and 117
The methods to find the HCF of 65 and 117 are explained below.
Prime Factorization Method
Long Division Method
Listing Common Factors
HCF of 65 and 117 by Prime Factorization
HCF of 65 and 117 by Prime Factorization
Prime factorization of 65 and 117 is (5 × 13) and (3 × 3 × 13) respectively. As visible, 65 and 117 have only one common prime factor i.e. 13. Hence, the HCF of 65 and 117 is 13.
HCF of 65 and 117 by Long Division
HCF of 65 and 117 by Long Division
HCF of 65 and 117 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
Step 1: Divide 117 (larger number) by 65 (smaller number).
Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (65) by the remainder (52).
Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (13) is the HCF of 65 and 117.
HCF of 65 and 117 by Listing Common Factors
HCF of 65 and 117 by Listing Common Factors
Factors of 65: 1, 5, 13, 65
Factors of 117: 1, 3, 9, 13, 39, 117
There are 2 common factors of 65 and 117, that are 1 and 13. Therefore, the highest common factor of 65 and 117 is 13.
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