What is the Greatest Common Factor of 85228 and 85241?

Greatest common factor (GCF) of 85228 and 85241 is 13.

GCF(85228,85241) = 13

We will now calculate the prime factors of 85228 and 85241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85228 and 85241.

How to find the GCF of 85228 and 85241?

We will first find the prime factorization of 85228 and 85241. After we will calculate the factors of 85228 and 85241 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85241

Prime factors of 85241 are 13, 79, 83. Prime factorization of 85241 in exponential form is:

85241 = 13¹ × 79¹ × 83¹

Step-3: Factors of 85228

List of positive integer factors of 85228 that divides 85228 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

Step-4: Factors of 85241

List of positive integer factors of 85241 that divides 85228 without a remainder.

1, 13, 79, 83, 1027, 1079, 6557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85228 and 85241. The biggest common factor number is the GCF number.
So the greatest common factor 85228 and 85241 is 13.

Also check out the Least Common Multiple of 85228 and 85241