What is the Greatest Common Factor of 74792 and 74812?

Greatest common factor (GCF) of 74792 and 74812 is 4.

GCF(74792,74812) = 4

We will now calculate the prime factors of 74792 and 74812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74792 and 74812.

How to find the GCF of 74792 and 74812?

We will first find the prime factorization of 74792 and 74812. After we will calculate the factors of 74792 and 74812 and find the biggest common factor number .

Step-1: Prime Factorization of 74792

Prime factors of 74792 are 2, 9349. Prime factorization of 74792 in exponential form is:

74792 = 2³ × 9349¹

Step-2: Prime Factorization of 74812

Prime factors of 74812 are 2, 59, 317. Prime factorization of 74812 in exponential form is:

74812 = 2² × 59¹ × 317¹

Step-3: Factors of 74792

List of positive integer factors of 74792 that divides 74792 without a remainder.

1, 2, 4, 8, 9349, 18698, 37396

Step-4: Factors of 74812

List of positive integer factors of 74812 that divides 74792 without a remainder.

1, 2, 4, 59, 118, 236, 317, 634, 1268, 18703, 37406

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74792 and 74812. The biggest common factor number is the GCF number.
So the greatest common factor 74792 and 74812 is 4.

Also check out the Least Common Multiple of 74792 and 74812