What is the Greatest Common Factor of 85657 and 85668?

Greatest common factor (GCF) of 85657 and 85668 is 11.

GCF(85657,85668) = 11

We will now calculate the prime factors of 85657 and 85668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85657 and 85668.

How to find the GCF of 85657 and 85668?

We will first find the prime factorization of 85657 and 85668. After we will calculate the factors of 85657 and 85668 and find the biggest common factor number .

Step-1: Prime Factorization of 85657

Prime factors of 85657 are 11, 13, 599. Prime factorization of 85657 in exponential form is:

85657 = 11¹ × 13¹ × 599¹

Step-2: Prime Factorization of 85668

Prime factors of 85668 are 2, 3, 11, 59. Prime factorization of 85668 in exponential form is:

85668 = 2² × 3¹ × 11² × 59¹

Step-3: Factors of 85657

List of positive integer factors of 85657 that divides 85657 without a remainder.

1, 11, 13, 143, 599, 6589, 7787

Step-4: Factors of 85668

List of positive integer factors of 85668 that divides 85657 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 121, 132, 177, 236, 242, 354, 363, 484, 649, 708, 726, 1298, 1452, 1947, 2596, 3894, 7139, 7788, 14278, 21417, 28556, 42834

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85657 and 85668. The biggest common factor number is the GCF number.
So the greatest common factor 85657 and 85668 is 11.

Also check out the Least Common Multiple of 85657 and 85668