What is the Greatest Common Factor of 75107 and 75126?

Greatest common factor (GCF) of 75107 and 75126 is 19.

GCF(75107,75126) = 19

We will now calculate the prime factors of 75107 and 75126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75107 and 75126.

How to find the GCF of 75107 and 75126?

We will first find the prime factorization of 75107 and 75126. After we will calculate the factors of 75107 and 75126 and find the biggest common factor number .

Step-1: Prime Factorization of 75107

Prime factors of 75107 are 19, 59, 67. Prime factorization of 75107 in exponential form is:

75107 = 19¹ × 59¹ × 67¹

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 75107

List of positive integer factors of 75107 that divides 75107 without a remainder.

1, 19, 59, 67, 1121, 1273, 3953

Step-4: Factors of 75126

List of positive integer factors of 75126 that divides 75107 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 75107 and 75126. The biggest common factor number is the GCF number.
So the greatest common factor 75107 and 75126 is 19.

Also check out the Least Common Multiple of 75107 and 75126