What is the Greatest Common Factor of 86805 and 86820?

Greatest common factor (GCF) of 86805 and 86820 is 15.

GCF(86805,86820) = 15

We will now calculate the prime factors of 86805 and 86820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86805 and 86820.

How to find the GCF of 86805 and 86820?

We will first find the prime factorization of 86805 and 86820. After we will calculate the factors of 86805 and 86820 and find the biggest common factor number .

Step-1: Prime Factorization of 86805

Prime factors of 86805 are 3, 5, 643. Prime factorization of 86805 in exponential form is:

86805 = 3³ × 5¹ × 643¹

Step-2: 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-3: Factors of 86805

List of positive integer factors of 86805 that divides 86805 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 643, 1929, 3215, 5787, 9645, 17361, 28935

Step-4: Factors of 86820

List of positive integer factors of 86820 that divides 86805 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86805 and 86820. The biggest common factor number is the GCF number.
So the greatest common factor 86805 and 86820 is 15.

Also check out the Least Common Multiple of 86805 and 86820