What is the Greatest Common Factor of 77125 and 77129?

Greatest common factor (GCF) of 77125 and 77129 is 1.

GCF(77125,77129) = 1

We will now calculate the prime factors of 77125 and 77129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77125 and 77129.

How to find the GCF of 77125 and 77129?

We will first find the prime factorization of 77125 and 77129. After we will calculate the factors of 77125 and 77129 and find the biggest common factor number .

Step-1: Prime Factorization of 77125

Prime factors of 77125 are 5, 617. Prime factorization of 77125 in exponential form is:

77125 = 5³ × 617¹

Step-2: Prime Factorization of 77129

Prime factors of 77129 are 13, 17, 349. Prime factorization of 77129 in exponential form is:

77129 = 13¹ × 17¹ × 349¹

Step-3: Factors of 77125

List of positive integer factors of 77125 that divides 77125 without a remainder.

1, 5, 25, 125, 617, 3085, 15425

Step-4: Factors of 77129

List of positive integer factors of 77129 that divides 77125 without a remainder.

1, 13, 17, 221, 349, 4537, 5933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77125 and 77129. The biggest common factor number is the GCF number.
So the greatest common factor 77125 and 77129 is 1.

Also check out the Least Common Multiple of 77125 and 77129