What is the Greatest Common Factor of 86172 and 86181?

Greatest common factor (GCF) of 86172 and 86181 is 3.

GCF(86172,86181) = 3

We will now calculate the prime factors of 86172 and 86181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86172 and 86181.

How to find the GCF of 86172 and 86181?

We will first find the prime factorization of 86172 and 86181. After we will calculate the factors of 86172 and 86181 and find the biggest common factor number .

Step-1: Prime Factorization of 86172

Prime factors of 86172 are 2, 3, 43, 167. Prime factorization of 86172 in exponential form is:

86172 = 2² × 3¹ × 43¹ × 167¹

Step-2: Prime Factorization of 86181

Prime factors of 86181 are 3, 23, 1249. Prime factorization of 86181 in exponential form is:

86181 = 3¹ × 23¹ × 1249¹

Step-3: Factors of 86172

List of positive integer factors of 86172 that divides 86172 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 167, 172, 258, 334, 501, 516, 668, 1002, 2004, 7181, 14362, 21543, 28724, 43086

Step-4: Factors of 86181

List of positive integer factors of 86181 that divides 86172 without a remainder.

1, 3, 23, 69, 1249, 3747, 28727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86172 and 86181. The biggest common factor number is the GCF number.
So the greatest common factor 86172 and 86181 is 3.

Also check out the Least Common Multiple of 86172 and 86181