What is the Greatest Common Factor of 88272 and 88281?

Greatest common factor (GCF) of 88272 and 88281 is 9.

GCF(88272,88281) = 9

We will now calculate the prime factors of 88272 and 88281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88272 and 88281.

How to find the GCF of 88272 and 88281?

We will first find the prime factorization of 88272 and 88281. After we will calculate the factors of 88272 and 88281 and find the biggest common factor number .

Step-1: Prime Factorization of 88272

Prime factors of 88272 are 2, 3, 613. Prime factorization of 88272 in exponential form is:

88272 = 2⁴ × 3² × 613¹

Step-2: Prime Factorization of 88281

Prime factors of 88281 are 3, 17, 577. Prime factorization of 88281 in exponential form is:

88281 = 3² × 17¹ × 577¹

Step-3: Factors of 88272

List of positive integer factors of 88272 that divides 88272 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 613, 1226, 1839, 2452, 3678, 4904, 5517, 7356, 9808, 11034, 14712, 22068, 29424, 44136

Step-4: Factors of 88281

List of positive integer factors of 88281 that divides 88272 without a remainder.

1, 3, 9, 17, 51, 153, 577, 1731, 5193, 9809, 29427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88272 and 88281. The biggest common factor number is the GCF number.
So the greatest common factor 88272 and 88281 is 9.

Also check out the Least Common Multiple of 88272 and 88281