What is the Greatest Common Factor of 59724 and 59736?

Greatest common factor (GCF) of 59724 and 59736 is 12.

GCF(59724,59736) = 12

We will now calculate the prime factors of 59724 and 59736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59724 and 59736.

How to find the GCF of 59724 and 59736?

We will first find the prime factorization of 59724 and 59736. After we will calculate the factors of 59724 and 59736 and find the biggest common factor number .

Step-1: Prime Factorization of 59724

Prime factors of 59724 are 2, 3, 7, 79. Prime factorization of 59724 in exponential form is:

59724 = 2² × 3³ × 7¹ × 79¹

Step-2: Prime Factorization of 59736

Prime factors of 59736 are 2, 3, 19, 131. Prime factorization of 59736 in exponential form is:

59736 = 2³ × 3¹ × 19¹ × 131¹

Step-3: Factors of 59724

List of positive integer factors of 59724 that divides 59724 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 79, 84, 108, 126, 158, 189, 237, 252, 316, 378, 474, 553, 711, 756, 948, 1106, 1422, 1659, 2133, 2212, 2844, 3318, 4266, 4977, 6636, 8532, 9954, 14931, 19908, 29862

Step-4: Factors of 59736

List of positive integer factors of 59736 that divides 59724 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 131, 152, 228, 262, 393, 456, 524, 786, 1048, 1572, 2489, 3144, 4978, 7467, 9956, 14934, 19912, 29868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59724 and 59736. The biggest common factor number is the GCF number.
So the greatest common factor 59724 and 59736 is 12.

Also check out the Least Common Multiple of 59724 and 59736