What is the Greatest Common Factor of 75112 and 75130?

Greatest common factor (GCF) of 75112 and 75130 is 2.

GCF(75112,75130) = 2

We will now calculate the prime factors of 75112 and 75130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75112 and 75130.

How to find the GCF of 75112 and 75130?

We will first find the prime factorization of 75112 and 75130. After we will calculate the factors of 75112 and 75130 and find the biggest common factor number .

Step-1: Prime Factorization of 75112

Prime factors of 75112 are 2, 41, 229. Prime factorization of 75112 in exponential form is:

75112 = 2³ × 41¹ × 229¹

Step-2: Prime Factorization of 75130

Prime factors of 75130 are 2, 5, 11, 683. Prime factorization of 75130 in exponential form is:

75130 = 2¹ × 5¹ × 11¹ × 683¹

Step-3: Factors of 75112

List of positive integer factors of 75112 that divides 75112 without a remainder.

1, 2, 4, 8, 41, 82, 164, 229, 328, 458, 916, 1832, 9389, 18778, 37556

Step-4: Factors of 75130

List of positive integer factors of 75130 that divides 75112 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 683, 1366, 3415, 6830, 7513, 15026, 37565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75112 and 75130. The biggest common factor number is the GCF number.
So the greatest common factor 75112 and 75130 is 2.

Also check out the Least Common Multiple of 75112 and 75130