What is the Greatest Common Factor of 88312 and 88320?

Greatest common factor (GCF) of 88312 and 88320 is 8.

GCF(88312,88320) = 8

We will now calculate the prime factors of 88312 and 88320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88312 and 88320.

How to find the GCF of 88312 and 88320?

We will first find the prime factorization of 88312 and 88320. After we will calculate the factors of 88312 and 88320 and find the biggest common factor number .

Step-1: Prime Factorization of 88312

Prime factors of 88312 are 2, 7, 19, 83. Prime factorization of 88312 in exponential form is:

88312 = 2³ × 7¹ × 19¹ × 83¹

Step-2: 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-3: Factors of 88312

List of positive integer factors of 88312 that divides 88312 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 83, 133, 152, 166, 266, 332, 532, 581, 664, 1064, 1162, 1577, 2324, 3154, 4648, 6308, 11039, 12616, 22078, 44156

Step-4: Factors of 88320

List of positive integer factors of 88320 that divides 88312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88312 and 88320. The biggest common factor number is the GCF number.
So the greatest common factor 88312 and 88320 is 8.

Also check out the Least Common Multiple of 88312 and 88320