2x 3 x 5
2
Find the Greatest Common Factor (GCF) of the given number pairs.
21. 18 and 27
22. 36 and 45
23. 48 and 56
Answers
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Step-by-step explanation:
The occurrences of common prime factors of 18 and 27 are 3 and 3. So the greatest common factor of 18 and 27 is 3 x 3 = 9.
We found the factors and prime factorization of 36 and 45. The biggest common factor number is the GCF number. So the greatest common factor 36 and 45 is 9.
GCF of 48 and 56 by Prime Factorization
Represent 48 and 56 as a product of its prime factors.
Prime factorization of 48 is 2 × 2 × 2 × 2 × 3
Prime factorization of 56 is 2 × 2 × 2 × 7
The common factors in the prime factorization of 48 and 56 are the repeated factors, that are, 2, 2, and 2
GCF is the product of the factors that are common to each of the given numbers.
Since the common factors are 2, 2, and 2, the GCF of 48 and 56 is 8
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