What is the Greatest Common Factor of 86810 and 86820?

Greatest common factor (GCF) of 86810 and 86820 is 10.

GCF(86810,86820) = 10

We will now calculate the prime factors of 86810 and 86820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86810 and 86820.

How to find the GCF of 86810 and 86820?

We will first find the prime factorization of 86810 and 86820. After we will calculate the factors of 86810 and 86820 and find the biggest common factor number .

Step-1: Prime Factorization of 86810

Prime factors of 86810 are 2, 5, 8681. Prime factorization of 86810 in exponential form is:

86810 = 2¹ × 5¹ × 8681¹

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 86810

List of positive integer factors of 86810 that divides 86810 without a remainder.

1, 2, 5, 10, 8681, 17362, 43405

Step-4: Factors of 86820

List of positive integer factors of 86820 that divides 86810 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 86810 and 86820. The biggest common factor number is the GCF number.
So the greatest common factor 86810 and 86820 is 10.

Also check out the Least Common Multiple of 86810 and 86820