What is the Greatest Common Factor of 64100 and 64116?

Greatest common factor (GCF) of 64100 and 64116 is 4.

GCF(64100,64116) = 4

We will now calculate the prime factors of 64100 and 64116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64100 and 64116.

How to find the GCF of 64100 and 64116?

We will first find the prime factorization of 64100 and 64116. After we will calculate the factors of 64100 and 64116 and find the biggest common factor number .

Step-1: Prime Factorization of 64100

Prime factors of 64100 are 2, 5, 641. Prime factorization of 64100 in exponential form is:

64100 = 2² × 5² × 641¹

Step-2: Prime Factorization of 64116

Prime factors of 64116 are 2, 3, 13, 137. Prime factorization of 64116 in exponential form is:

64116 = 2² × 3² × 13¹ × 137¹

Step-3: Factors of 64100

List of positive integer factors of 64100 that divides 64100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 641, 1282, 2564, 3205, 6410, 12820, 16025, 32050

Step-4: Factors of 64116

List of positive integer factors of 64116 that divides 64100 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 137, 156, 234, 274, 411, 468, 548, 822, 1233, 1644, 1781, 2466, 3562, 4932, 5343, 7124, 10686, 16029, 21372, 32058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64100 and 64116. The biggest common factor number is the GCF number.
So the greatest common factor 64100 and 64116 is 4.

Also check out the Least Common Multiple of 64100 and 64116