What is the Greatest Common Factor of 66875 and 66880?

Greatest common factor (GCF) of 66875 and 66880 is 5.

GCF(66875,66880) = 5

We will now calculate the prime factors of 66875 and 66880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66875 and 66880.

How to find the GCF of 66875 and 66880?

We will first find the prime factorization of 66875 and 66880. After we will calculate the factors of 66875 and 66880 and find the biggest common factor number .

Step-1: Prime Factorization of 66875

Prime factors of 66875 are 5, 107. Prime factorization of 66875 in exponential form is:

66875 = 5⁴ × 107¹

Step-2: Prime Factorization of 66880

Prime factors of 66880 are 2, 5, 11, 19. Prime factorization of 66880 in exponential form is:

66880 = 2⁶ × 5¹ × 11¹ × 19¹

Step-3: Factors of 66875

List of positive integer factors of 66875 that divides 66875 without a remainder.

1, 5, 25, 107, 125, 535, 625, 2675, 13375

Step-4: Factors of 66880

List of positive integer factors of 66880 that divides 66875 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 19, 20, 22, 32, 38, 40, 44, 55, 64, 76, 80, 88, 95, 110, 152, 160, 176, 190, 209, 220, 304, 320, 352, 380, 418, 440, 608, 704, 760, 836, 880, 1045, 1216, 1520, 1672, 1760, 2090, 3040, 3344, 3520, 4180, 6080, 6688, 8360, 13376, 16720, 33440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66875 and 66880. The biggest common factor number is the GCF number.
So the greatest common factor 66875 and 66880 is 5.

Also check out the Least Common Multiple of 66875 and 66880