What is the Greatest Common Factor of 85646 and 85663?

Greatest common factor (GCF) of 85646 and 85663 is 17.

GCF(85646,85663) = 17

We will now calculate the prime factors of 85646 and 85663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85646 and 85663.

How to find the GCF of 85646 and 85663?

We will first find the prime factorization of 85646 and 85663. After we will calculate the factors of 85646 and 85663 and find the biggest common factor number .

Step-1: Prime Factorization of 85646

Prime factors of 85646 are 2, 11, 17, 229. Prime factorization of 85646 in exponential form is:

85646 = 2¹ × 11¹ × 17¹ × 229¹

Step-2: Prime Factorization of 85663

Prime factors of 85663 are 17, 5039. Prime factorization of 85663 in exponential form is:

85663 = 17¹ × 5039¹

Step-3: Factors of 85646

List of positive integer factors of 85646 that divides 85646 without a remainder.

1, 2, 11, 17, 22, 34, 187, 229, 374, 458, 2519, 3893, 5038, 7786, 42823

Step-4: Factors of 85663

List of positive integer factors of 85663 that divides 85646 without a remainder.

1, 17, 5039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85646 and 85663. The biggest common factor number is the GCF number.
So the greatest common factor 85646 and 85663 is 17.

Also check out the Least Common Multiple of 85646 and 85663