What is the Greatest Common Factor of 74268 and 74272?

Greatest common factor (GCF) of 74268 and 74272 is 4.

GCF(74268,74272) = 4

We will now calculate the prime factors of 74268 and 74272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74268 and 74272.

How to find the GCF of 74268 and 74272?

We will first find the prime factorization of 74268 and 74272. After we will calculate the factors of 74268 and 74272 and find the biggest common factor number .

Step-1: Prime Factorization of 74268

Prime factors of 74268 are 2, 3, 2063. Prime factorization of 74268 in exponential form is:

74268 = 2² × 3² × 2063¹

Step-2: Prime Factorization of 74272

Prime factors of 74272 are 2, 11, 211. Prime factorization of 74272 in exponential form is:

74272 = 2⁵ × 11¹ × 211¹

Step-3: Factors of 74268

List of positive integer factors of 74268 that divides 74268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2063, 4126, 6189, 8252, 12378, 18567, 24756, 37134

Step-4: Factors of 74272

List of positive integer factors of 74272 that divides 74268 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 211, 352, 422, 844, 1688, 2321, 3376, 4642, 6752, 9284, 18568, 37136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74268 and 74272. The biggest common factor number is the GCF number.
So the greatest common factor 74268 and 74272 is 4.

Also check out the Least Common Multiple of 74268 and 74272