What is the Greatest Common Factor of 74272 and 74280?

Greatest common factor (GCF) of 74272 and 74280 is 8.

GCF(74272,74280) = 8

We will now calculate the prime factors of 74272 and 74280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74272 and 74280.

How to find the GCF of 74272 and 74280?

We will first find the prime factorization of 74272 and 74280. After we will calculate the factors of 74272 and 74280 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74280

Prime factors of 74280 are 2, 3, 5, 619. Prime factorization of 74280 in exponential form is:

74280 = 2³ × 3¹ × 5¹ × 619¹

Step-3: Factors of 74272

List of positive integer factors of 74272 that divides 74272 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

Step-4: Factors of 74280

List of positive integer factors of 74280 that divides 74272 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 619, 1238, 1857, 2476, 3095, 3714, 4952, 6190, 7428, 9285, 12380, 14856, 18570, 24760, 37140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74272 and 74280. The biggest common factor number is the GCF number.
So the greatest common factor 74272 and 74280 is 8.

Also check out the Least Common Multiple of 74272 and 74280