What is the Greatest Common Factor of 76111 and 76125?

Greatest common factor (GCF) of 76111 and 76125 is 7.

GCF(76111,76125) = 7

We will now calculate the prime factors of 76111 and 76125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76111 and 76125.

How to find the GCF of 76111 and 76125?

We will first find the prime factorization of 76111 and 76125. After we will calculate the factors of 76111 and 76125 and find the biggest common factor number .

Step-1: Prime Factorization of 76111

Prime factors of 76111 are 7, 83, 131. Prime factorization of 76111 in exponential form is:

76111 = 7¹ × 83¹ × 131¹

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 76111

List of positive integer factors of 76111 that divides 76111 without a remainder.

1, 7, 83, 131, 581, 917, 10873

Step-4: Factors of 76125

List of positive integer factors of 76125 that divides 76111 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 76111 and 76125. The biggest common factor number is the GCF number.
So the greatest common factor 76111 and 76125 is 7.

Also check out the Least Common Multiple of 76111 and 76125