What is the Greatest Common Factor of 59724 and 59739?

Greatest common factor (GCF) of 59724 and 59739 is 3.

GCF(59724,59739) = 3

We will now calculate the prime factors of 59724 and 59739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59724 and 59739.

How to find the GCF of 59724 and 59739?

We will first find the prime factorization of 59724 and 59739. After we will calculate the factors of 59724 and 59739 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 59739

Prime factors of 59739 are 3, 19913. Prime factorization of 59739 in exponential form is:

59739 = 3¹ × 19913¹

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 59739

List of positive integer factors of 59739 that divides 59724 without a remainder.

1, 3, 19913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59724 and 59739. The biggest common factor number is the GCF number.
So the greatest common factor 59724 and 59739 is 3.

Also check out the Least Common Multiple of 59724 and 59739