What is the Greatest Common Factor of 74112 and 74124?

Greatest common factor (GCF) of 74112 and 74124 is 12.

GCF(74112,74124) = 12

We will now calculate the prime factors of 74112 and 74124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74112 and 74124.

How to find the GCF of 74112 and 74124?

We will first find the prime factorization of 74112 and 74124. After we will calculate the factors of 74112 and 74124 and find the biggest common factor number .

Step-1: Prime Factorization of 74112

Prime factors of 74112 are 2, 3, 193. Prime factorization of 74112 in exponential form is:

74112 = 2⁷ × 3¹ × 193¹

Step-2: 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-3: Factors of 74112

List of positive integer factors of 74112 that divides 74112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 193, 384, 386, 579, 772, 1158, 1544, 2316, 3088, 4632, 6176, 9264, 12352, 18528, 24704, 37056

Step-4: Factors of 74124

List of positive integer factors of 74124 that divides 74112 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74112 and 74124. The biggest common factor number is the GCF number.
So the greatest common factor 74112 and 74124 is 12.

Also check out the Least Common Multiple of 74112 and 74124