Question

find the greatest number which is divides 36and 60​

Answer 1

Answer:

12

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Answer 2

Answer:

Greatest Common Factor of 36 and 60

Greatest common factor (GCF) of 36 and 60 is 12.

GCF(36,60) = 12

We will now calculate the prime factors of 36 and 60, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 60.Prime Factorization of 36

Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:

36 = 22 × 32

Prime Factorization of 60

Prime factors of 60 are 2, 3, 5. Prime factorization of 60 in exponential form is:

60 = 22 × 31 × 51Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18

Factors of 60

List of positive integer factors of 60 that divides 36 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

Greatest Common Factor

We found the factors and prime factorization of 36 and 60. The biggest common factor number is the GCF number.

So the greatest common factor 36 and 60 is 12.