What is the Greatest Common Factor of 85272 and 85284?

Greatest common factor (GCF) of 85272 and 85284 is 12.

GCF(85272,85284) = 12

We will now calculate the prime factors of 85272 and 85284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85272 and 85284.

How to find the GCF of 85272 and 85284?

We will first find the prime factorization of 85272 and 85284. After we will calculate the factors of 85272 and 85284 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 85284

Prime factors of 85284 are 2, 3, 23, 103. Prime factorization of 85284 in exponential form is:

85284 = 2² × 3² × 23¹ × 103¹

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 85284

List of positive integer factors of 85284 that divides 85272 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 103, 138, 206, 207, 276, 309, 412, 414, 618, 828, 927, 1236, 1854, 2369, 3708, 4738, 7107, 9476, 14214, 21321, 28428, 42642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85272 and 85284. The biggest common factor number is the GCF number.
So the greatest common factor 85272 and 85284 is 12.

Also check out the Least Common Multiple of 85272 and 85284