What is the Greatest Common Factor of 75124 and 75131?

Greatest common factor (GCF) of 75124 and 75131 is 7.

GCF(75124,75131) = 7

We will now calculate the prime factors of 75124 and 75131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75124 and 75131.

How to find the GCF of 75124 and 75131?

We will first find the prime factorization of 75124 and 75131. After we will calculate the factors of 75124 and 75131 and find the biggest common factor number .

Step-1: Prime Factorization of 75124

Prime factors of 75124 are 2, 7, 2683. Prime factorization of 75124 in exponential form is:

75124 = 2² × 7¹ × 2683¹

Step-2: Prime Factorization of 75131

Prime factors of 75131 are 7, 10733. Prime factorization of 75131 in exponential form is:

75131 = 7¹ × 10733¹

Step-3: Factors of 75124

List of positive integer factors of 75124 that divides 75124 without a remainder.

1, 2, 4, 7, 14, 28, 2683, 5366, 10732, 18781, 37562

Step-4: Factors of 75131

List of positive integer factors of 75131 that divides 75124 without a remainder.

1, 7, 10733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75124 and 75131. The biggest common factor number is the GCF number.
So the greatest common factor 75124 and 75131 is 7.

Also check out the Least Common Multiple of 75124 and 75131