What is the Greatest Common Factor of 58696 and 58716?

Greatest common factor (GCF) of 58696 and 58716 is 4.

GCF(58696,58716) = 4

We will now calculate the prime factors of 58696 and 58716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58696 and 58716.

How to find the GCF of 58696 and 58716?

We will first find the prime factorization of 58696 and 58716. After we will calculate the factors of 58696 and 58716 and find the biggest common factor number .

Step-1: Prime Factorization of 58696

Prime factors of 58696 are 2, 11, 23, 29. Prime factorization of 58696 in exponential form is:

58696 = 2³ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 58716

Prime factors of 58716 are 2, 3, 7, 233. Prime factorization of 58716 in exponential form is:

58716 = 2² × 3² × 7¹ × 233¹

Step-3: Factors of 58696

List of positive integer factors of 58696 that divides 58696 without a remainder.

1, 2, 4, 8, 11, 22, 23, 29, 44, 46, 58, 88, 92, 116, 184, 232, 253, 319, 506, 638, 667, 1012, 1276, 1334, 2024, 2552, 2668, 5336, 7337, 14674, 29348

Step-4: Factors of 58716

List of positive integer factors of 58716 that divides 58696 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 233, 252, 466, 699, 932, 1398, 1631, 2097, 2796, 3262, 4194, 4893, 6524, 8388, 9786, 14679, 19572, 29358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58696 and 58716. The biggest common factor number is the GCF number.
So the greatest common factor 58696 and 58716 is 4.

Also check out the Least Common Multiple of 58696 and 58716