What is the Greatest Common Factor of 64475 and 64480?

Greatest common factor (GCF) of 64475 and 64480 is 5.

GCF(64475,64480) = 5

We will now calculate the prime factors of 64475 and 64480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64475 and 64480.

How to find the GCF of 64475 and 64480?

We will first find the prime factorization of 64475 and 64480. After we will calculate the factors of 64475 and 64480 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 64480

Prime factors of 64480 are 2, 5, 13, 31. Prime factorization of 64480 in exponential form is:

64480 = 2⁵ × 5¹ × 13¹ × 31¹

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 64480

List of positive integer factors of 64480 that divides 64475 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 31, 32, 40, 52, 62, 65, 80, 104, 124, 130, 155, 160, 208, 248, 260, 310, 403, 416, 496, 520, 620, 806, 992, 1040, 1240, 1612, 2015, 2080, 2480, 3224, 4030, 4960, 6448, 8060, 12896, 16120, 32240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64475 and 64480. The biggest common factor number is the GCF number.
So the greatest common factor 64475 and 64480 is 5.

Also check out the Least Common Multiple of 64475 and 64480