What is the Greatest Common Factor of 75126 and 75137?

Greatest common factor (GCF) of 75126 and 75137 is 1.

GCF(75126,75137) = 1

We will now calculate the prime factors of 75126 and 75137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75126 and 75137.

How to find the GCF of 75126 and 75137?

We will first find the prime factorization of 75126 and 75137. After we will calculate the factors of 75126 and 75137 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 75137

Prime factors of 75137 are 227, 331. Prime factorization of 75137 in exponential form is:

75137 = 227¹ × 331¹

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 75137

List of positive integer factors of 75137 that divides 75126 without a remainder.

1, 227, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75126 and 75137. The biggest common factor number is the GCF number.
So the greatest common factor 75126 and 75137 is 1.

Also check out the Least Common Multiple of 75126 and 75137