What is the Greatest Common Factor of 74974 and 74992?

Greatest common factor (GCF) of 74974 and 74992 is 2.

GCF(74974,74992) = 2

We will now calculate the prime factors of 74974 and 74992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74974 and 74992.

How to find the GCF of 74974 and 74992?

We will first find the prime factorization of 74974 and 74992. After we will calculate the factors of 74974 and 74992 and find the biggest common factor number .

Step-1: Prime Factorization of 74974

Prime factors of 74974 are 2, 19, 1973. Prime factorization of 74974 in exponential form is:

74974 = 2¹ × 19¹ × 1973¹

Step-2: Prime Factorization of 74992

Prime factors of 74992 are 2, 43, 109. Prime factorization of 74992 in exponential form is:

74992 = 2⁴ × 43¹ × 109¹

Step-3: Factors of 74974

List of positive integer factors of 74974 that divides 74974 without a remainder.

1, 2, 19, 38, 1973, 3946, 37487

Step-4: Factors of 74992

List of positive integer factors of 74992 that divides 74974 without a remainder.

1, 2, 4, 8, 16, 43, 86, 109, 172, 218, 344, 436, 688, 872, 1744, 4687, 9374, 18748, 37496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74974 and 74992. The biggest common factor number is the GCF number.
So the greatest common factor 74974 and 74992 is 2.

Also check out the Least Common Multiple of 74974 and 74992