What is the Greatest Common Factor of 76114 and 76125?

Greatest common factor (GCF) of 76114 and 76125 is 1.

GCF(76114,76125) = 1

We will now calculate the prime factors of 76114 and 76125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76114 and 76125.

How to find the GCF of 76114 and 76125?

We will first find the prime factorization of 76114 and 76125. After we will calculate the factors of 76114 and 76125 and find the biggest common factor number .

Step-1: Prime Factorization of 76114

Prime factors of 76114 are 2, 19, 2003. Prime factorization of 76114 in exponential form is:

76114 = 2¹ × 19¹ × 2003¹

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 76114

List of positive integer factors of 76114 that divides 76114 without a remainder.

1, 2, 19, 38, 2003, 4006, 38057

Step-4: Factors of 76125

List of positive integer factors of 76125 that divides 76114 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 76114 and 76125. The biggest common factor number is the GCF number.
So the greatest common factor 76114 and 76125 is 1.

Also check out the Least Common Multiple of 76114 and 76125