What is the Greatest Common Factor of 85590 and 85602?

Greatest common factor (GCF) of 85590 and 85602 is 6.

GCF(85590,85602) = 6

We will now calculate the prime factors of 85590 and 85602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85590 and 85602.

How to find the GCF of 85590 and 85602?

We will first find the prime factorization of 85590 and 85602. After we will calculate the factors of 85590 and 85602 and find the biggest common factor number .

Step-1: Prime Factorization of 85590

Prime factors of 85590 are 2, 3, 5, 317. Prime factorization of 85590 in exponential form is:

85590 = 2¹ × 3³ × 5¹ × 317¹

Step-2: 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-3: Factors of 85590

List of positive integer factors of 85590 that divides 85590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 317, 634, 951, 1585, 1902, 2853, 3170, 4755, 5706, 8559, 9510, 14265, 17118, 28530, 42795

Step-4: Factors of 85602

List of positive integer factors of 85602 that divides 85590 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85590 and 85602. The biggest common factor number is the GCF number.
So the greatest common factor 85590 and 85602 is 6.

Also check out the Least Common Multiple of 85590 and 85602