What is the Greatest Common Factor of 86820 and 86827?

Greatest common factor (GCF) of 86820 and 86827 is 1.

GCF(86820,86827) = 1

We will now calculate the prime factors of 86820 and 86827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86820 and 86827.

How to find the GCF of 86820 and 86827?

We will first find the prime factorization of 86820 and 86827. After we will calculate the factors of 86820 and 86827 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 86827

Prime factors of 86827 are 13, 6679. Prime factorization of 86827 in exponential form is:

86827 = 13¹ × 6679¹

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 86827

List of positive integer factors of 86827 that divides 86820 without a remainder.

1, 13, 6679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86820 and 86827. The biggest common factor number is the GCF number.
So the greatest common factor 86820 and 86827 is 1.

Also check out the Least Common Multiple of 86820 and 86827