What is the Greatest Common Factor of 85272 and 85280?

Greatest common factor (GCF) of 85272 and 85280 is 8.

GCF(85272,85280) = 8

We will now calculate the prime factors of 85272 and 85280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85272 and 85280.

How to find the GCF of 85272 and 85280?

We will first find the prime factorization of 85272 and 85280. After we will calculate the factors of 85272 and 85280 and find the biggest common factor number .

Step-1: Prime Factorization of 85272

Prime factors of 85272 are 2, 3, 11, 17, 19. Prime factorization of 85272 in exponential form is:

85272 = 2³ × 3¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 85280

Prime factors of 85280 are 2, 5, 13, 41. Prime factorization of 85280 in exponential form is:

85280 = 2⁵ × 5¹ × 13¹ × 41¹

Step-3: Factors of 85272

List of positive integer factors of 85272 that divides 85272 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 19, 22, 24, 33, 34, 38, 44, 51, 57, 66, 68, 76, 88, 102, 114, 132, 136, 152, 187, 204, 209, 228, 264, 323, 374, 408, 418, 456, 561, 627, 646, 748, 836, 969, 1122, 1254, 1292, 1496, 1672, 1938, 2244, 2508, 2584, 3553, 3876, 4488, 5016, 7106, 7752, 10659, 14212, 21318, 28424, 42636

Step-4: Factors of 85280

List of positive integer factors of 85280 that divides 85272 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 41, 52, 65, 80, 82, 104, 130, 160, 164, 205, 208, 260, 328, 410, 416, 520, 533, 656, 820, 1040, 1066, 1312, 1640, 2080, 2132, 2665, 3280, 4264, 5330, 6560, 8528, 10660, 17056, 21320, 42640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85272 and 85280. The biggest common factor number is the GCF number.
So the greatest common factor 85272 and 85280 is 8.

Also check out the Least Common Multiple of 85272 and 85280