What is the Greatest Common Factor of 75092 and 75112?

Greatest common factor (GCF) of 75092 and 75112 is 4.

GCF(75092,75112) = 4

We will now calculate the prime factors of 75092 and 75112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75092 and 75112.

How to find the GCF of 75092 and 75112?

We will first find the prime factorization of 75092 and 75112. After we will calculate the factors of 75092 and 75112 and find the biggest common factor number .

Step-1: Prime Factorization of 75092

Prime factors of 75092 are 2, 18773. Prime factorization of 75092 in exponential form is:

75092 = 2² × 18773¹

Step-2: 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-3: Factors of 75092

List of positive integer factors of 75092 that divides 75092 without a remainder.

1, 2, 4, 18773, 37546

Step-4: Factors of 75112

List of positive integer factors of 75112 that divides 75092 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75092 and 75112. The biggest common factor number is the GCF number.
So the greatest common factor 75092 and 75112 is 4.

Also check out the Least Common Multiple of 75092 and 75112