What is the Greatest Common Factor of 64475 and 64495?

Greatest common factor (GCF) of 64475 and 64495 is 5.

GCF(64475,64495) = 5

We will now calculate the prime factors of 64475 and 64495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64475 and 64495.

How to find the GCF of 64475 and 64495?

We will first find the prime factorization of 64475 and 64495. After we will calculate the factors of 64475 and 64495 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 64495

Prime factors of 64495 are 5, 12899. Prime factorization of 64495 in exponential form is:

64495 = 5¹ × 12899¹

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 64495

List of positive integer factors of 64495 that divides 64475 without a remainder.

1, 5, 12899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64475 and 64495. The biggest common factor number is the GCF number.
So the greatest common factor 64475 and 64495 is 5.

Also check out the Least Common Multiple of 64475 and 64495