What is the Greatest Common Factor of 86811 and 86820?

Greatest common factor (GCF) of 86811 and 86820 is 3.

GCF(86811,86820) = 3

We will now calculate the prime factors of 86811 and 86820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86811 and 86820.

How to find the GCF of 86811 and 86820?

We will first find the prime factorization of 86811 and 86820. After we will calculate the factors of 86811 and 86820 and find the biggest common factor number .

Step-1: Prime Factorization of 86811

Prime factors of 86811 are 3, 19, 1523. Prime factorization of 86811 in exponential form is:

86811 = 3¹ × 19¹ × 1523¹

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 86811

List of positive integer factors of 86811 that divides 86811 without a remainder.

1, 3, 19, 57, 1523, 4569, 28937

Step-4: Factors of 86820

List of positive integer factors of 86820 that divides 86811 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 86811 and 86820. The biggest common factor number is the GCF number.
So the greatest common factor 86811 and 86820 is 3.

Also check out the Least Common Multiple of 86811 and 86820