What is the Greatest Common Factor of 64900 and 64916?

Greatest common factor (GCF) of 64900 and 64916 is 4.

GCF(64900,64916) = 4

We will now calculate the prime factors of 64900 and 64916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64900 and 64916.

How to find the GCF of 64900 and 64916?

We will first find the prime factorization of 64900 and 64916. After we will calculate the factors of 64900 and 64916 and find the biggest common factor number .

Step-1: Prime Factorization of 64900

Prime factors of 64900 are 2, 5, 11, 59. Prime factorization of 64900 in exponential form is:

64900 = 2² × 5² × 11¹ × 59¹

Step-2: Prime Factorization of 64916

Prime factors of 64916 are 2, 16229. Prime factorization of 64916 in exponential form is:

64916 = 2² × 16229¹

Step-3: Factors of 64900

List of positive integer factors of 64900 that divides 64900 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 59, 100, 110, 118, 220, 236, 275, 295, 550, 590, 649, 1100, 1180, 1298, 1475, 2596, 2950, 3245, 5900, 6490, 12980, 16225, 32450

Step-4: Factors of 64916

List of positive integer factors of 64916 that divides 64900 without a remainder.

1, 2, 4, 16229, 32458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64900 and 64916. The biggest common factor number is the GCF number.
So the greatest common factor 64900 and 64916 is 4.

Also check out the Least Common Multiple of 64900 and 64916