What is the Greatest Common Factor of 64460 and 64475?

Greatest common factor (GCF) of 64460 and 64475 is 5.

GCF(64460,64475) = 5

We will now calculate the prime factors of 64460 and 64475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64460 and 64475.

How to find the GCF of 64460 and 64475?

We will first find the prime factorization of 64460 and 64475. After we will calculate the factors of 64460 and 64475 and find the biggest common factor number .

Step-1: Prime Factorization of 64460

Prime factors of 64460 are 2, 5, 11, 293. Prime factorization of 64460 in exponential form is:

64460 = 2² × 5¹ × 11¹ × 293¹

Step-2: Prime Factorization of 64475

Prime factors of 64475 are 5, 2579. Prime factorization of 64475 in exponential form is:

64475 = 5² × 2579¹

Step-3: Factors of 64460

List of positive integer factors of 64460 that divides 64460 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 293, 586, 1172, 1465, 2930, 3223, 5860, 6446, 12892, 16115, 32230

Step-4: Factors of 64475

List of positive integer factors of 64475 that divides 64460 without a remainder.

1, 5, 25, 2579, 12895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64460 and 64475. The biggest common factor number is the GCF number.
So the greatest common factor 64460 and 64475 is 5.

Also check out the Least Common Multiple of 64460 and 64475