What is the Greatest Common Factor of 85253 and 85272?

Greatest common factor (GCF) of 85253 and 85272 is 19.

GCF(85253,85272) = 19

We will now calculate the prime factors of 85253 and 85272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85253 and 85272.

How to find the GCF of 85253 and 85272?

We will first find the prime factorization of 85253 and 85272. After we will calculate the factors of 85253 and 85272 and find the biggest common factor number .

Step-1: Prime Factorization of 85253

Prime factors of 85253 are 7, 19, 641. Prime factorization of 85253 in exponential form is:

85253 = 7¹ × 19¹ × 641¹

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 85253

List of positive integer factors of 85253 that divides 85253 without a remainder.

1, 7, 19, 133, 641, 4487, 12179

Step-4: Factors of 85272

List of positive integer factors of 85272 that divides 85253 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 85253 and 85272. The biggest common factor number is the GCF number.
So the greatest common factor 85253 and 85272 is 19.

Also check out the Least Common Multiple of 85253 and 85272