What is the Greatest Common Factor of 64475 and 64494?

Greatest common factor (GCF) of 64475 and 64494 is 1.

GCF(64475,64494) = 1

We will now calculate the prime factors of 64475 and 64494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64475 and 64494.

How to find the GCF of 64475 and 64494?

We will first find the prime factorization of 64475 and 64494. After we will calculate the factors of 64475 and 64494 and find the biggest common factor number .

Step-1: Prime Factorization of 64475

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

64475 = 5² × 2579¹

Step-2: Prime Factorization of 64494

Prime factors of 64494 are 2, 3, 3583. Prime factorization of 64494 in exponential form is:

64494 = 2¹ × 3² × 3583¹

Step-3: Factors of 64475

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

1, 5, 25, 2579, 12895

Step-4: Factors of 64494

List of positive integer factors of 64494 that divides 64475 without a remainder.

1, 2, 3, 6, 9, 18, 3583, 7166, 10749, 21498, 32247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64475 and 64494. The biggest common factor number is the GCF number.
So the greatest common factor 64475 and 64494 is 1.

Also check out the Least Common Multiple of 64475 and 64494