What is the Greatest Common Factor of 76607 and 76625?

Greatest common factor (GCF) of 76607 and 76625 is 1.

GCF(76607,76625) = 1

We will now calculate the prime factors of 76607 and 76625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76607 and 76625.

How to find the GCF of 76607 and 76625?

We will first find the prime factorization of 76607 and 76625. After we will calculate the factors of 76607 and 76625 and find the biggest common factor number .

Step-1: Prime Factorization of 76607

Prime factors of 76607 are 76607. Prime factorization of 76607 in exponential form is:

76607 = 76607¹

Step-2: Prime Factorization of 76625

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

76625 = 5³ × 613¹

Step-3: Factors of 76607

List of positive integer factors of 76607 that divides 76607 without a remainder.

Step-4: Factors of 76625

List of positive integer factors of 76625 that divides 76607 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76607 and 76625. The biggest common factor number is the GCF number.
So the greatest common factor 76607 and 76625 is 1.

Also check out the Least Common Multiple of 76607 and 76625