What is the Greatest Common Factor of 75108 and 75119?

Greatest common factor (GCF) of 75108 and 75119 is 11.

GCF(75108,75119) = 11

We will now calculate the prime factors of 75108 and 75119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75108 and 75119.

How to find the GCF of 75108 and 75119?

We will first find the prime factorization of 75108 and 75119. After we will calculate the factors of 75108 and 75119 and find the biggest common factor number .

Step-1: Prime Factorization of 75108

Prime factors of 75108 are 2, 3, 11, 569. Prime factorization of 75108 in exponential form is:

75108 = 2² × 3¹ × 11¹ × 569¹

Step-2: Prime Factorization of 75119

Prime factors of 75119 are 11, 6829. Prime factorization of 75119 in exponential form is:

75119 = 11¹ × 6829¹

Step-3: Factors of 75108

List of positive integer factors of 75108 that divides 75108 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 569, 1138, 1707, 2276, 3414, 6259, 6828, 12518, 18777, 25036, 37554

Step-4: Factors of 75119

List of positive integer factors of 75119 that divides 75108 without a remainder.

1, 11, 6829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75108 and 75119. The biggest common factor number is the GCF number.
So the greatest common factor 75108 and 75119 is 11.

Also check out the Least Common Multiple of 75108 and 75119