What is the Greatest Common Factor of 74104 and 74112?

Greatest common factor (GCF) of 74104 and 74112 is 8.

GCF(74104,74112) = 8

We will now calculate the prime factors of 74104 and 74112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74104 and 74112.

How to find the GCF of 74104 and 74112?

We will first find the prime factorization of 74104 and 74112. After we will calculate the factors of 74104 and 74112 and find the biggest common factor number .

Step-1: Prime Factorization of 74104

Prime factors of 74104 are 2, 59, 157. Prime factorization of 74104 in exponential form is:

74104 = 2³ × 59¹ × 157¹

Step-2: 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-3: Factors of 74104

List of positive integer factors of 74104 that divides 74104 without a remainder.

1, 2, 4, 8, 59, 118, 157, 236, 314, 472, 628, 1256, 9263, 18526, 37052

Step-4: Factors of 74112

List of positive integer factors of 74112 that divides 74104 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74104 and 74112. The biggest common factor number is the GCF number.
So the greatest common factor 74104 and 74112 is 8.

Also check out the Least Common Multiple of 74104 and 74112