What is the Greatest Common Factor of 75126 and 75134?

Greatest common factor (GCF) of 75126 and 75134 is 2.

GCF(75126,75134) = 2

We will now calculate the prime factors of 75126 and 75134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75126 and 75134.

How to find the GCF of 75126 and 75134?

We will first find the prime factorization of 75126 and 75134. After we will calculate the factors of 75126 and 75134 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75134

Prime factors of 75134 are 2, 37567. Prime factorization of 75134 in exponential form is:

75134 = 2¹ × 37567¹

Step-3: Factors of 75126

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

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

Step-4: Factors of 75134

List of positive integer factors of 75134 that divides 75126 without a remainder.

1, 2, 37567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75126 and 75134. The biggest common factor number is the GCF number.
So the greatest common factor 75126 and 75134 is 2.

Also check out the Least Common Multiple of 75126 and 75134