What is the Greatest Common Factor of 86820 and 86838?

Greatest common factor (GCF) of 86820 and 86838 is 6.

GCF(86820,86838) = 6

We will now calculate the prime factors of 86820 and 86838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86820 and 86838.

How to find the GCF of 86820 and 86838?

We will first find the prime factorization of 86820 and 86838. After we will calculate the factors of 86820 and 86838 and find the biggest common factor number .

Step-1: Prime Factorization of 86820

Prime factors of 86820 are 2, 3, 5, 1447. Prime factorization of 86820 in exponential form is:

86820 = 2² × 3¹ × 5¹ × 1447¹

Step-2: Prime Factorization of 86838

Prime factors of 86838 are 2, 3, 41, 353. Prime factorization of 86838 in exponential form is:

86838 = 2¹ × 3¹ × 41¹ × 353¹

Step-3: Factors of 86820

List of positive integer factors of 86820 that divides 86820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1447, 2894, 4341, 5788, 7235, 8682, 14470, 17364, 21705, 28940, 43410

Step-4: Factors of 86838

List of positive integer factors of 86838 that divides 86820 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 353, 706, 1059, 2118, 14473, 28946, 43419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86820 and 86838. The biggest common factor number is the GCF number.
So the greatest common factor 86820 and 86838 is 6.

Also check out the Least Common Multiple of 86820 and 86838