What is the Greatest Common Factor of 59704 and 59724?

Greatest common factor (GCF) of 59704 and 59724 is 4.

GCF(59704,59724) = 4

We will now calculate the prime factors of 59704 and 59724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59704 and 59724.

How to find the GCF of 59704 and 59724?

We will first find the prime factorization of 59704 and 59724. After we will calculate the factors of 59704 and 59724 and find the biggest common factor number .

Step-1: Prime Factorization of 59704

Prime factors of 59704 are 2, 17, 439. Prime factorization of 59704 in exponential form is:

59704 = 2³ × 17¹ × 439¹

Step-2: 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-3: Factors of 59704

List of positive integer factors of 59704 that divides 59704 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 439, 878, 1756, 3512, 7463, 14926, 29852

Step-4: Factors of 59724

List of positive integer factors of 59724 that divides 59704 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59704 and 59724. The biggest common factor number is the GCF number.
So the greatest common factor 59704 and 59724 is 4.

Also check out the Least Common Multiple of 59704 and 59724