What is the Greatest Common Factor of 85251 and 85266?

Greatest common factor (GCF) of 85251 and 85266 is 3.

GCF(85251,85266) = 3

We will now calculate the prime factors of 85251 and 85266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85251 and 85266.

How to find the GCF of 85251 and 85266?

We will first find the prime factorization of 85251 and 85266. After we will calculate the factors of 85251 and 85266 and find the biggest common factor number .

Step-1: Prime Factorization of 85251

Prime factors of 85251 are 3, 157, 181. Prime factorization of 85251 in exponential form is:

85251 = 3¹ × 157¹ × 181¹

Step-2: Prime Factorization of 85266

Prime factors of 85266 are 2, 3, 1579. Prime factorization of 85266 in exponential form is:

85266 = 2¹ × 3³ × 1579¹

Step-3: Factors of 85251

List of positive integer factors of 85251 that divides 85251 without a remainder.

1, 3, 157, 181, 471, 543, 28417

Step-4: Factors of 85266

List of positive integer factors of 85266 that divides 85251 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1579, 3158, 4737, 9474, 14211, 28422, 42633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85251 and 85266. The biggest common factor number is the GCF number.
So the greatest common factor 85251 and 85266 is 3.

Also check out the Least Common Multiple of 85251 and 85266