What is the Greatest Common Factor of 59682 and 59696?

Greatest common factor (GCF) of 59682 and 59696 is 14.

GCF(59682,59696) = 14

We will now calculate the prime factors of 59682 and 59696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59682 and 59696.

How to find the GCF of 59682 and 59696?

We will first find the prime factorization of 59682 and 59696. After we will calculate the factors of 59682 and 59696 and find the biggest common factor number .

Step-1: Prime Factorization of 59682

Prime factors of 59682 are 2, 3, 7, 29. Prime factorization of 59682 in exponential form is:

59682 = 2¹ × 3¹ × 7³ × 29¹

Step-2: 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-3: Factors of 59682

List of positive integer factors of 59682 that divides 59682 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 343, 406, 609, 686, 1029, 1218, 1421, 2058, 2842, 4263, 8526, 9947, 19894, 29841

Step-4: Factors of 59696

List of positive integer factors of 59696 that divides 59682 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59682 and 59696. The biggest common factor number is the GCF number.
So the greatest common factor 59682 and 59696 is 14.

Also check out the Least Common Multiple of 59682 and 59696