What is the Greatest Common Factor of 76272 and 76288?

Greatest common factor (GCF) of 76272 and 76288 is 16.

GCF(76272,76288) = 16

We will now calculate the prime factors of 76272 and 76288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76272 and 76288.

How to find the GCF of 76272 and 76288?

We will first find the prime factorization of 76272 and 76288. After we will calculate the factors of 76272 and 76288 and find the biggest common factor number .

Step-1: Prime Factorization of 76272

Prime factors of 76272 are 2, 3, 7, 227. Prime factorization of 76272 in exponential form is:

76272 = 2⁴ × 3¹ × 7¹ × 227¹

Step-2: Prime Factorization of 76288

Prime factors of 76288 are 2, 149. Prime factorization of 76288 in exponential form is:

76288 = 2⁹ × 149¹

Step-3: Factors of 76272

List of positive integer factors of 76272 that divides 76272 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 227, 336, 454, 681, 908, 1362, 1589, 1816, 2724, 3178, 3632, 4767, 5448, 6356, 9534, 10896, 12712, 19068, 25424, 38136

Step-4: Factors of 76288

List of positive integer factors of 76288 that divides 76272 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 149, 256, 298, 512, 596, 1192, 2384, 4768, 9536, 19072, 38144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76272 and 76288. The biggest common factor number is the GCF number.
So the greatest common factor 76272 and 76288 is 16.

Also check out the Least Common Multiple of 76272 and 76288