What is the Greatest Common Factor of 76125 and 76131?

Greatest common factor (GCF) of 76125 and 76131 is 3.

GCF(76125,76131) = 3

We will now calculate the prime factors of 76125 and 76131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76125 and 76131.

How to find the GCF of 76125 and 76131?

We will first find the prime factorization of 76125 and 76131. After we will calculate the factors of 76125 and 76131 and find the biggest common factor number .

Step-1: Prime Factorization of 76125

Prime factors of 76125 are 3, 5, 7, 29. Prime factorization of 76125 in exponential form is:

76125 = 3¹ × 5³ × 7¹ × 29¹

Step-2: Prime Factorization of 76131

Prime factors of 76131 are 3, 11, 769. Prime factorization of 76131 in exponential form is:

76131 = 3² × 11¹ × 769¹

Step-3: Factors of 76125

List of positive integer factors of 76125 that divides 76125 without a remainder.

1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 125, 145, 175, 203, 375, 435, 525, 609, 725, 875, 1015, 2175, 2625, 3045, 3625, 5075, 10875, 15225, 25375

Step-4: Factors of 76131

List of positive integer factors of 76131 that divides 76125 without a remainder.

1, 3, 9, 11, 33, 99, 769, 2307, 6921, 8459, 25377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76125 and 76131. The biggest common factor number is the GCF number.
So the greatest common factor 76125 and 76131 is 3.

Also check out the Least Common Multiple of 76125 and 76131