What is the Greatest Common Factor of 85272 and 85286?

Greatest common factor (GCF) of 85272 and 85286 is 2.

GCF(85272,85286) = 2

We will now calculate the prime factors of 85272 and 85286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85272 and 85286.

How to find the GCF of 85272 and 85286?

We will first find the prime factorization of 85272 and 85286. After we will calculate the factors of 85272 and 85286 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 85286

Prime factors of 85286 are 2, 42643. Prime factorization of 85286 in exponential form is:

85286 = 2¹ × 42643¹

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 85286

List of positive integer factors of 85286 that divides 85272 without a remainder.

1, 2, 42643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85272 and 85286. The biggest common factor number is the GCF number.
So the greatest common factor 85272 and 85286 is 2.

Also check out the Least Common Multiple of 85272 and 85286