What is the Greatest Common Factor of 86871 and 86877?

Greatest common factor (GCF) of 86871 and 86877 is 3.

GCF(86871,86877) = 3

We will now calculate the prime factors of 86871 and 86877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86871 and 86877.

How to find the GCF of 86871 and 86877?

We will first find the prime factorization of 86871 and 86877. After we will calculate the factors of 86871 and 86877 and find the biggest common factor number .

Step-1: Prime Factorization of 86871

Prime factors of 86871 are 3, 23, 1259. Prime factorization of 86871 in exponential form is:

86871 = 3¹ × 23¹ × 1259¹

Step-2: Prime Factorization of 86877

Prime factors of 86877 are 3, 7, 197. Prime factorization of 86877 in exponential form is:

86877 = 3² × 7² × 197¹

Step-3: Factors of 86871

List of positive integer factors of 86871 that divides 86871 without a remainder.

1, 3, 23, 69, 1259, 3777, 28957

Step-4: Factors of 86877

List of positive integer factors of 86877 that divides 86871 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 197, 441, 591, 1379, 1773, 4137, 9653, 12411, 28959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86871 and 86877. The biggest common factor number is the GCF number.
So the greatest common factor 86871 and 86877 is 3.

Also check out the Least Common Multiple of 86871 and 86877