What is the Greatest Common Factor of 75114 and 75125?

Greatest common factor (GCF) of 75114 and 75125 is 1.

GCF(75114,75125) = 1

We will now calculate the prime factors of 75114 and 75125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75114 and 75125.

How to find the GCF of 75114 and 75125?

We will first find the prime factorization of 75114 and 75125. After we will calculate the factors of 75114 and 75125 and find the biggest common factor number .

Step-1: Prime Factorization of 75114

Prime factors of 75114 are 2, 3, 13, 107. Prime factorization of 75114 in exponential form is:

75114 = 2¹ × 3³ × 13¹ × 107¹

Step-2: Prime Factorization of 75125

Prime factors of 75125 are 5, 601. Prime factorization of 75125 in exponential form is:

75125 = 5³ × 601¹

Step-3: Factors of 75114

List of positive integer factors of 75114 that divides 75114 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 107, 117, 214, 234, 321, 351, 642, 702, 963, 1391, 1926, 2782, 2889, 4173, 5778, 8346, 12519, 25038, 37557

Step-4: Factors of 75125

List of positive integer factors of 75125 that divides 75114 without a remainder.

1, 5, 25, 125, 601, 3005, 15025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75114 and 75125. The biggest common factor number is the GCF number.
So the greatest common factor 75114 and 75125 is 1.

Also check out the Least Common Multiple of 75114 and 75125