What is the Greatest Common Factor of 76625 and 76642?

Greatest common factor (GCF) of 76625 and 76642 is 1.

GCF(76625,76642) = 1

We will now calculate the prime factors of 76625 and 76642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76625 and 76642.

How to find the GCF of 76625 and 76642?

We will first find the prime factorization of 76625 and 76642. After we will calculate the factors of 76625 and 76642 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 76642

Prime factors of 76642 are 2, 38321. Prime factorization of 76642 in exponential form is:

76642 = 2¹ × 38321¹

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 76642

List of positive integer factors of 76642 that divides 76625 without a remainder.

1, 2, 38321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76625 and 76642. The biggest common factor number is the GCF number.
So the greatest common factor 76625 and 76642 is 1.

Also check out the Least Common Multiple of 76625 and 76642