What is the Greatest Common Factor of 88272 and 88284?

Greatest common factor (GCF) of 88272 and 88284 is 12.

GCF(88272,88284) = 12

We will now calculate the prime factors of 88272 and 88284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88272 and 88284.

How to find the GCF of 88272 and 88284?

We will first find the prime factorization of 88272 and 88284. After we will calculate the factors of 88272 and 88284 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 88284

Prime factors of 88284 are 2, 3, 7, 1051. Prime factorization of 88284 in exponential form is:

88284 = 2² × 3¹ × 7¹ × 1051¹

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 88284

List of positive integer factors of 88284 that divides 88272 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1051, 2102, 3153, 4204, 6306, 7357, 12612, 14714, 22071, 29428, 44142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88272 and 88284. The biggest common factor number is the GCF number.
So the greatest common factor 88272 and 88284 is 12.

Also check out the Least Common Multiple of 88272 and 88284