What is the Greatest Common Factor of 86364 and 86374?

Greatest common factor (GCF) of 86364 and 86374 is 2.

GCF(86364,86374) = 2

We will now calculate the prime factors of 86364 and 86374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86364 and 86374.

How to find the GCF of 86364 and 86374?

We will first find the prime factorization of 86364 and 86374. After we will calculate the factors of 86364 and 86374 and find the biggest common factor number .

Step-1: Prime Factorization of 86364

Prime factors of 86364 are 2, 3, 2399. Prime factorization of 86364 in exponential form is:

86364 = 2² × 3² × 2399¹

Step-2: Prime Factorization of 86374

Prime factors of 86374 are 2, 19, 2273. Prime factorization of 86374 in exponential form is:

86374 = 2¹ × 19¹ × 2273¹

Step-3: Factors of 86364

List of positive integer factors of 86364 that divides 86364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2399, 4798, 7197, 9596, 14394, 21591, 28788, 43182

Step-4: Factors of 86374

List of positive integer factors of 86374 that divides 86364 without a remainder.

1, 2, 19, 38, 2273, 4546, 43187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86364 and 86374. The biggest common factor number is the GCF number.
So the greatest common factor 86364 and 86374 is 2.

Also check out the Least Common Multiple of 86364 and 86374