What is the Greatest Common Factor of 86138 and 86148?

Greatest common factor (GCF) of 86138 and 86148 is 2.

GCF(86138,86148) = 2

We will now calculate the prime factors of 86138 and 86148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86138 and 86148.

How to find the GCF of 86138 and 86148?

We will first find the prime factorization of 86138 and 86148. After we will calculate the factors of 86138 and 86148 and find the biggest common factor number .

Step-1: Prime Factorization of 86138

Prime factors of 86138 are 2, 13, 3313. Prime factorization of 86138 in exponential form is:

86138 = 2¹ × 13¹ × 3313¹

Step-2: Prime Factorization of 86148

Prime factors of 86148 are 2, 3, 2393. Prime factorization of 86148 in exponential form is:

86148 = 2² × 3² × 2393¹

Step-3: Factors of 86138

List of positive integer factors of 86138 that divides 86138 without a remainder.

1, 2, 13, 26, 3313, 6626, 43069

Step-4: Factors of 86148

List of positive integer factors of 86148 that divides 86138 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2393, 4786, 7179, 9572, 14358, 21537, 28716, 43074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86138 and 86148. The biggest common factor number is the GCF number.
So the greatest common factor 86138 and 86148 is 2.

Also check out the Least Common Multiple of 86138 and 86148