What is the Greatest Common Factor of 59696 and 59704?

Greatest common factor (GCF) of 59696 and 59704 is 8.

GCF(59696,59704) = 8

We will now calculate the prime factors of 59696 and 59704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59696 and 59704.

How to find the GCF of 59696 and 59704?

We will first find the prime factorization of 59696 and 59704. After we will calculate the factors of 59696 and 59704 and find the biggest common factor number .

Step-1: Prime Factorization of 59696

Prime factors of 59696 are 2, 7, 13, 41. Prime factorization of 59696 in exponential form is:

59696 = 2⁴ × 7¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 59696

List of positive integer factors of 59696 that divides 59696 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 41, 52, 56, 82, 91, 104, 112, 164, 182, 208, 287, 328, 364, 533, 574, 656, 728, 1066, 1148, 1456, 2132, 2296, 3731, 4264, 4592, 7462, 8528, 14924, 29848

Step-4: Factors of 59704

List of positive integer factors of 59704 that divides 59696 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59696 and 59704. The biggest common factor number is the GCF number.
So the greatest common factor 59696 and 59704 is 8.

Also check out the Least Common Multiple of 59696 and 59704