What is the Greatest Common Factor of 85602 and 85613?

Greatest common factor (GCF) of 85602 and 85613 is 11.

GCF(85602,85613) = 11

We will now calculate the prime factors of 85602 and 85613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85602 and 85613.

How to find the GCF of 85602 and 85613?

We will first find the prime factorization of 85602 and 85613. After we will calculate the factors of 85602 and 85613 and find the biggest common factor number .

Step-1: Prime Factorization of 85602

Prime factors of 85602 are 2, 3, 11, 1297. Prime factorization of 85602 in exponential form is:

85602 = 2¹ × 3¹ × 11¹ × 1297¹

Step-2: Prime Factorization of 85613

Prime factors of 85613 are 11, 43, 181. Prime factorization of 85613 in exponential form is:

85613 = 11¹ × 43¹ × 181¹

Step-3: Factors of 85602

List of positive integer factors of 85602 that divides 85602 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1297, 2594, 3891, 7782, 14267, 28534, 42801

Step-4: Factors of 85613

List of positive integer factors of 85613 that divides 85602 without a remainder.

1, 11, 43, 181, 473, 1991, 7783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85602 and 85613. The biggest common factor number is the GCF number.
So the greatest common factor 85602 and 85613 is 11.

Also check out the Least Common Multiple of 85602 and 85613