What is the Greatest Common Factor of 64310 and 64315?

Greatest common factor (GCF) of 64310 and 64315 is 5.

GCF(64310,64315) = 5

We will now calculate the prime factors of 64310 and 64315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64310 and 64315.

How to find the GCF of 64310 and 64315?

We will first find the prime factorization of 64310 and 64315. After we will calculate the factors of 64310 and 64315 and find the biggest common factor number .

Step-1: Prime Factorization of 64310

Prime factors of 64310 are 2, 5, 59, 109. Prime factorization of 64310 in exponential form is:

64310 = 2¹ × 5¹ × 59¹ × 109¹

Step-2: Prime Factorization of 64315

Prime factors of 64315 are 5, 19, 677. Prime factorization of 64315 in exponential form is:

64315 = 5¹ × 19¹ × 677¹

Step-3: Factors of 64310

List of positive integer factors of 64310 that divides 64310 without a remainder.

1, 2, 5, 10, 59, 109, 118, 218, 295, 545, 590, 1090, 6431, 12862, 32155

Step-4: Factors of 64315

List of positive integer factors of 64315 that divides 64310 without a remainder.

1, 5, 19, 95, 677, 3385, 12863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64310 and 64315. The biggest common factor number is the GCF number.
So the greatest common factor 64310 and 64315 is 5.

Also check out the Least Common Multiple of 64310 and 64315