What is the Greatest Common Factor of 88320 and 88332?

Greatest common factor (GCF) of 88320 and 88332 is 12.

GCF(88320,88332) = 12

We will now calculate the prime factors of 88320 and 88332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88320 and 88332.

How to find the GCF of 88320 and 88332?

We will first find the prime factorization of 88320 and 88332. After we will calculate the factors of 88320 and 88332 and find the biggest common factor number .

Step-1: Prime Factorization of 88320

Prime factors of 88320 are 2, 3, 5, 23. Prime factorization of 88320 in exponential form is:

88320 = 2⁸ × 3¹ × 5¹ × 23¹

Step-2: Prime Factorization of 88332

Prime factors of 88332 are 2, 3, 17, 433. Prime factorization of 88332 in exponential form is:

88332 = 2² × 3¹ × 17¹ × 433¹

Step-3: Factors of 88320

List of positive integer factors of 88320 that divides 88320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 64, 69, 80, 92, 96, 115, 120, 128, 138, 160, 184, 192, 230, 240, 256, 276, 320, 345, 368, 384, 460, 480, 552, 640, 690, 736, 768, 920, 960, 1104, 1280, 1380, 1472, 1840, 1920, 2208, 2760, 2944, 3680, 3840, 4416, 5520, 5888, 7360, 8832, 11040, 14720, 17664, 22080, 29440, 44160

Step-4: Factors of 88332

List of positive integer factors of 88332 that divides 88320 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 433, 866, 1299, 1732, 2598, 5196, 7361, 14722, 22083, 29444, 44166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88320 and 88332. The biggest common factor number is the GCF number.
So the greatest common factor 88320 and 88332 is 12.

Also check out the Least Common Multiple of 88320 and 88332