What is the Greatest Common Factor of 59696 and 59700?

Greatest common factor (GCF) of 59696 and 59700 is 4.

GCF(59696,59700) = 4

We will now calculate the prime factors of 59696 and 59700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59696 and 59700.

How to find the GCF of 59696 and 59700?

We will first find the prime factorization of 59696 and 59700. After we will calculate the factors of 59696 and 59700 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 59700

Prime factors of 59700 are 2, 3, 5, 199. Prime factorization of 59700 in exponential form is:

59700 = 2² × 3¹ × 5² × 199¹

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 59700

List of positive integer factors of 59700 that divides 59696 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 199, 300, 398, 597, 796, 995, 1194, 1990, 2388, 2985, 3980, 4975, 5970, 9950, 11940, 14925, 19900, 29850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59696 and 59700. The biggest common factor number is the GCF number.
So the greatest common factor 59696 and 59700 is 4.

Also check out the Least Common Multiple of 59696 and 59700