What is the Greatest Common Factor of 85255 and 85272?

Greatest common factor (GCF) of 85255 and 85272 is 17.

GCF(85255,85272) = 17

We will now calculate the prime factors of 85255 and 85272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85255 and 85272.

How to find the GCF of 85255 and 85272?

We will first find the prime factorization of 85255 and 85272. After we will calculate the factors of 85255 and 85272 and find the biggest common factor number .

Step-1: Prime Factorization of 85255

Prime factors of 85255 are 5, 17, 59. Prime factorization of 85255 in exponential form is:

85255 = 5¹ × 17² × 59¹

Step-2: 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-3: Factors of 85255

List of positive integer factors of 85255 that divides 85255 without a remainder.

1, 5, 17, 59, 85, 289, 295, 1003, 1445, 5015, 17051

Step-4: Factors of 85272

List of positive integer factors of 85272 that divides 85255 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85255 and 85272. The biggest common factor number is the GCF number.
So the greatest common factor 85255 and 85272 is 17.

Also check out the Least Common Multiple of 85255 and 85272