What is the Greatest Common Factor of 86340 and 86344?

Greatest common factor (GCF) of 86340 and 86344 is 4.

GCF(86340,86344) = 4

We will now calculate the prime factors of 86340 and 86344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86340 and 86344.

How to find the GCF of 86340 and 86344?

We will first find the prime factorization of 86340 and 86344. After we will calculate the factors of 86340 and 86344 and find the biggest common factor number .

Step-1: Prime Factorization of 86340

Prime factors of 86340 are 2, 3, 5, 1439. Prime factorization of 86340 in exponential form is:

86340 = 2² × 3¹ × 5¹ × 1439¹

Step-2: Prime Factorization of 86344

Prime factors of 86344 are 2, 43, 251. Prime factorization of 86344 in exponential form is:

86344 = 2³ × 43¹ × 251¹

Step-3: Factors of 86340

List of positive integer factors of 86340 that divides 86340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1439, 2878, 4317, 5756, 7195, 8634, 14390, 17268, 21585, 28780, 43170

Step-4: Factors of 86344

List of positive integer factors of 86344 that divides 86340 without a remainder.

1, 2, 4, 8, 43, 86, 172, 251, 344, 502, 1004, 2008, 10793, 21586, 43172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86340 and 86344. The biggest common factor number is the GCF number.
So the greatest common factor 86340 and 86344 is 4.

Also check out the Least Common Multiple of 86340 and 86344