What is the Greatest Common Factor of 88320 and 88330?

Greatest common factor (GCF) of 88320 and 88330 is 10.

GCF(88320,88330) = 10

We will now calculate the prime factors of 88320 and 88330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88320 and 88330.

How to find the GCF of 88320 and 88330?

We will first find the prime factorization of 88320 and 88330. After we will calculate the factors of 88320 and 88330 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 88330

Prime factors of 88330 are 2, 5, 11, 73. Prime factorization of 88330 in exponential form is:

88330 = 2¹ × 5¹ × 11² × 73¹

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 88330

List of positive integer factors of 88330 that divides 88320 without a remainder.

1, 2, 5, 10, 11, 22, 55, 73, 110, 121, 146, 242, 365, 605, 730, 803, 1210, 1606, 4015, 8030, 8833, 17666, 44165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88320 and 88330. The biggest common factor number is the GCF number.
So the greatest common factor 88320 and 88330 is 10.

Also check out the Least Common Multiple of 88320 and 88330