What is the Greatest Common Factor of 76525 and 76537?

Greatest common factor (GCF) of 76525 and 76537 is 1.

GCF(76525,76537) = 1

We will now calculate the prime factors of 76525 and 76537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76525 and 76537.

How to find the GCF of 76525 and 76537?

We will first find the prime factorization of 76525 and 76537. After we will calculate the factors of 76525 and 76537 and find the biggest common factor number .

Step-1: Prime Factorization of 76525

Prime factors of 76525 are 5, 3061. Prime factorization of 76525 in exponential form is:

76525 = 5² × 3061¹

Step-2: Prime Factorization of 76537

Prime factors of 76537 are 76537. Prime factorization of 76537 in exponential form is:

76537 = 76537¹

Step-3: Factors of 76525

List of positive integer factors of 76525 that divides 76525 without a remainder.

1, 5, 25, 3061, 15305

Step-4: Factors of 76537

List of positive integer factors of 76537 that divides 76525 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76525 and 76537. The biggest common factor number is the GCF number.
So the greatest common factor 76525 and 76537 is 1.

Also check out the Least Common Multiple of 76525 and 76537