What is the Greatest Common Factor of 86185 and 86196?

Greatest common factor (GCF) of 86185 and 86196 is 11.

GCF(86185,86196) = 11

We will now calculate the prime factors of 86185 and 86196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86185 and 86196.

How to find the GCF of 86185 and 86196?

We will first find the prime factorization of 86185 and 86196. After we will calculate the factors of 86185 and 86196 and find the biggest common factor number .

Step-1: Prime Factorization of 86185

Prime factors of 86185 are 5, 11, 1567. Prime factorization of 86185 in exponential form is:

86185 = 5¹ × 11¹ × 1567¹

Step-2: Prime Factorization of 86196

Prime factors of 86196 are 2, 3, 11, 653. Prime factorization of 86196 in exponential form is:

86196 = 2² × 3¹ × 11¹ × 653¹

Step-3: Factors of 86185

List of positive integer factors of 86185 that divides 86185 without a remainder.

1, 5, 11, 55, 1567, 7835, 17237

Step-4: Factors of 86196

List of positive integer factors of 86196 that divides 86185 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 653, 1306, 1959, 2612, 3918, 7183, 7836, 14366, 21549, 28732, 43098

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86185 and 86196. The biggest common factor number is the GCF number.
So the greatest common factor 86185 and 86196 is 11.

Also check out the Least Common Multiple of 86185 and 86196