What is the Greatest Common Factor of 76107 and 76125?

Greatest common factor (GCF) of 76107 and 76125 is 3.

GCF(76107,76125) = 3

We will now calculate the prime factors of 76107 and 76125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76107 and 76125.

How to find the GCF of 76107 and 76125?

We will first find the prime factorization of 76107 and 76125. After we will calculate the factors of 76107 and 76125 and find the biggest common factor number .

Step-1: Prime Factorization of 76107

Prime factors of 76107 are 3, 23, 1103. Prime factorization of 76107 in exponential form is:

76107 = 3¹ × 23¹ × 1103¹

Step-2: 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-3: Factors of 76107

List of positive integer factors of 76107 that divides 76107 without a remainder.

1, 3, 23, 69, 1103, 3309, 25369

Step-4: Factors of 76125

List of positive integer factors of 76125 that divides 76107 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76107 and 76125. The biggest common factor number is the GCF number.
So the greatest common factor 76107 and 76125 is 3.

Also check out the Least Common Multiple of 76107 and 76125