What is the Greatest Common Factor of 86138 and 86151?

Greatest common factor (GCF) of 86138 and 86151 is 13.

GCF(86138,86151) = 13

We will now calculate the prime factors of 86138 and 86151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86138 and 86151.

How to find the GCF of 86138 and 86151?

We will first find the prime factorization of 86138 and 86151. After we will calculate the factors of 86138 and 86151 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 86151

Prime factors of 86151 are 3, 13, 47. Prime factorization of 86151 in exponential form is:

86151 = 3¹ × 13¹ × 47²

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 86151

List of positive integer factors of 86151 that divides 86138 without a remainder.

1, 3, 13, 39, 47, 141, 611, 1833, 2209, 6627, 28717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86138 and 86151. The biggest common factor number is the GCF number.
So the greatest common factor 86138 and 86151 is 13.

Also check out the Least Common Multiple of 86138 and 86151