What is the Greatest Common Factor of 86196 and 86209?

Greatest common factor (GCF) of 86196 and 86209 is 1.

GCF(86196,86209) = 1

We will now calculate the prime factors of 86196 and 86209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86196 and 86209.

How to find the GCF of 86196 and 86209?

We will first find the prime factorization of 86196 and 86209. After we will calculate the factors of 86196 and 86209 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86209

Prime factors of 86209 are 86209. Prime factorization of 86209 in exponential form is:

86209 = 86209¹

Step-3: Factors of 86196

List of positive integer factors of 86196 that divides 86196 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

Step-4: Factors of 86209

List of positive integer factors of 86209 that divides 86196 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86196 and 86209. The biggest common factor number is the GCF number.
So the greatest common factor 86196 and 86209 is 1.

Also check out the Least Common Multiple of 86196 and 86209