What is the Greatest Common Factor of 64100 and 64113?

Greatest common factor (GCF) of 64100 and 64113 is 1.

GCF(64100,64113) = 1

We will now calculate the prime factors of 64100 and 64113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64100 and 64113.

How to find the GCF of 64100 and 64113?

We will first find the prime factorization of 64100 and 64113. After we will calculate the factors of 64100 and 64113 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 64113

Prime factors of 64113 are 3, 7, 43, 71. Prime factorization of 64113 in exponential form is:

64113 = 3¹ × 7¹ × 43¹ × 71¹

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 64113

List of positive integer factors of 64113 that divides 64100 without a remainder.

1, 3, 7, 21, 43, 71, 129, 213, 301, 497, 903, 1491, 3053, 9159, 21371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64100 and 64113. The biggest common factor number is the GCF number.
So the greatest common factor 64100 and 64113 is 1.

Also check out the Least Common Multiple of 64100 and 64113