What is the Greatest Common Factor of 86138 and 86146?

Greatest common factor (GCF) of 86138 and 86146 is 2.

GCF(86138,86146) = 2

We will now calculate the prime factors of 86138 and 86146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86138 and 86146.

How to find the GCF of 86138 and 86146?

We will first find the prime factorization of 86138 and 86146. After we will calculate the factors of 86138 and 86146 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 86146

Prime factors of 86146 are 2, 19, 2267. Prime factorization of 86146 in exponential form is:

86146 = 2¹ × 19¹ × 2267¹

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 86146

List of positive integer factors of 86146 that divides 86138 without a remainder.

1, 2, 19, 38, 2267, 4534, 43073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86138 and 86146. The biggest common factor number is the GCF number.
So the greatest common factor 86138 and 86146 is 2.

Also check out the Least Common Multiple of 86138 and 86146