What is the Greatest Common Factor of 74124 and 74136?

Greatest common factor (GCF) of 74124 and 74136 is 12.

GCF(74124,74136) = 12

We will now calculate the prime factors of 74124 and 74136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74124 and 74136.

How to find the GCF of 74124 and 74136?

We will first find the prime factorization of 74124 and 74136. After we will calculate the factors of 74124 and 74136 and find the biggest common factor number .

Step-1: Prime Factorization of 74124

Prime factors of 74124 are 2, 3, 29, 71. Prime factorization of 74124 in exponential form is:

74124 = 2² × 3² × 29¹ × 71¹

Step-2: Prime Factorization of 74136

Prime factors of 74136 are 2, 3, 3089. Prime factorization of 74136 in exponential form is:

74136 = 2³ × 3¹ × 3089¹

Step-3: Factors of 74124

List of positive integer factors of 74124 that divides 74124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 71, 87, 116, 142, 174, 213, 261, 284, 348, 426, 522, 639, 852, 1044, 1278, 2059, 2556, 4118, 6177, 8236, 12354, 18531, 24708, 37062

Step-4: Factors of 74136

List of positive integer factors of 74136 that divides 74124 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3089, 6178, 9267, 12356, 18534, 24712, 37068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74124 and 74136. The biggest common factor number is the GCF number.
So the greatest common factor 74124 and 74136 is 12.

Also check out the Least Common Multiple of 74124 and 74136