What is the Greatest Common Factor of 75114 and 75126?

Greatest common factor (GCF) of 75114 and 75126 is 6.

GCF(75114,75126) = 6

We will now calculate the prime factors of 75114 and 75126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75114 and 75126.

How to find the GCF of 75114 and 75126?

We will first find the prime factorization of 75114 and 75126. After we will calculate the factors of 75114 and 75126 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 75126

Prime factors of 75126 are 2, 3, 19, 659. Prime factorization of 75126 in exponential form is:

75126 = 2¹ × 3¹ × 19¹ × 659¹

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 75126

List of positive integer factors of 75126 that divides 75114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 659, 1318, 1977, 3954, 12521, 25042, 37563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75114 and 75126. The biggest common factor number is the GCF number.
So the greatest common factor 75114 and 75126 is 6.

Also check out the Least Common Multiple of 75114 and 75126