What is the Greatest Common Factor of 85217 and 85228?

Greatest common factor (GCF) of 85217 and 85228 is 11.

GCF(85217,85228) = 11

We will now calculate the prime factors of 85217 and 85228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85217 and 85228.

How to find the GCF of 85217 and 85228?

We will first find the prime factorization of 85217 and 85228. After we will calculate the factors of 85217 and 85228 and find the biggest common factor number .

Step-1: Prime Factorization of 85217

Prime factors of 85217 are 11, 61, 127. Prime factorization of 85217 in exponential form is:

85217 = 11¹ × 61¹ × 127¹

Step-2: Prime Factorization of 85228

Prime factors of 85228 are 2, 11, 13, 149. Prime factorization of 85228 in exponential form is:

85228 = 2² × 11¹ × 13¹ × 149¹

Step-3: Factors of 85217

List of positive integer factors of 85217 that divides 85217 without a remainder.

1, 11, 61, 127, 671, 1397, 7747

Step-4: Factors of 85228

List of positive integer factors of 85228 that divides 85217 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 149, 286, 298, 572, 596, 1639, 1937, 3278, 3874, 6556, 7748, 21307, 42614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85217 and 85228. The biggest common factor number is the GCF number.
So the greatest common factor 85217 and 85228 is 11.

Also check out the Least Common Multiple of 85217 and 85228