What is the Greatest Common Factor of 76625 and 76640?

Greatest common factor (GCF) of 76625 and 76640 is 5.

GCF(76625,76640) = 5

We will now calculate the prime factors of 76625 and 76640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76625 and 76640.

How to find the GCF of 76625 and 76640?

We will first find the prime factorization of 76625 and 76640. After we will calculate the factors of 76625 and 76640 and find the biggest common factor number .

Step-1: Prime Factorization of 76625

Prime factors of 76625 are 5, 613. Prime factorization of 76625 in exponential form is:

76625 = 5³ × 613¹

Step-2: Prime Factorization of 76640

Prime factors of 76640 are 2, 5, 479. Prime factorization of 76640 in exponential form is:

76640 = 2⁵ × 5¹ × 479¹

Step-3: Factors of 76625

List of positive integer factors of 76625 that divides 76625 without a remainder.

1, 5, 25, 125, 613, 3065, 15325

Step-4: Factors of 76640

List of positive integer factors of 76640 that divides 76625 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 479, 958, 1916, 2395, 3832, 4790, 7664, 9580, 15328, 19160, 38320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76625 and 76640. The biggest common factor number is the GCF number.
So the greatest common factor 76625 and 76640 is 5.

Also check out the Least Common Multiple of 76625 and 76640