What is the Greatest Common Factor of 64100 and 64105?

Greatest common factor (GCF) of 64100 and 64105 is 5.

GCF(64100,64105) = 5

We will now calculate the prime factors of 64100 and 64105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64100 and 64105.

How to find the GCF of 64100 and 64105?

We will first find the prime factorization of 64100 and 64105. After we will calculate the factors of 64100 and 64105 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 64105

Prime factors of 64105 are 5, 12821. Prime factorization of 64105 in exponential form is:

64105 = 5¹ × 12821¹

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 64105

List of positive integer factors of 64105 that divides 64100 without a remainder.

1, 5, 12821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64100 and 64105. The biggest common factor number is the GCF number.
So the greatest common factor 64100 and 64105 is 5.

Also check out the Least Common Multiple of 64100 and 64105