What is the Greatest Common Factor of 75114 and 75133?

Greatest common factor (GCF) of 75114 and 75133 is 1.

GCF(75114,75133) = 1

We will now calculate the prime factors of 75114 and 75133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75114 and 75133.

How to find the GCF of 75114 and 75133?

We will first find the prime factorization of 75114 and 75133. After we will calculate the factors of 75114 and 75133 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 75133

Prime factors of 75133 are 75133. Prime factorization of 75133 in exponential form is:

75133 = 75133¹

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 75133

List of positive integer factors of 75133 that divides 75114 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75114 and 75133. The biggest common factor number is the GCF number.
So the greatest common factor 75114 and 75133 is 1.

Also check out the Least Common Multiple of 75114 and 75133