What is the Greatest Common Factor of 85138 and 85146?

Greatest common factor (GCF) of 85138 and 85146 is 2.

GCF(85138,85146) = 2

We will now calculate the prime factors of 85138 and 85146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85138 and 85146.

How to find the GCF of 85138 and 85146?

We will first find the prime factorization of 85138 and 85146. After we will calculate the factors of 85138 and 85146 and find the biggest common factor number .

Step-1: Prime Factorization of 85138

Prime factors of 85138 are 2, 42569. Prime factorization of 85138 in exponential form is:

85138 = 2¹ × 42569¹

Step-2: Prime Factorization of 85146

Prime factors of 85146 are 2, 3, 23, 617. Prime factorization of 85146 in exponential form is:

85146 = 2¹ × 3¹ × 23¹ × 617¹

Step-3: Factors of 85138

List of positive integer factors of 85138 that divides 85138 without a remainder.

1, 2, 42569

Step-4: Factors of 85146

List of positive integer factors of 85146 that divides 85138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 617, 1234, 1851, 3702, 14191, 28382, 42573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85138 and 85146. The biggest common factor number is the GCF number.
So the greatest common factor 85138 and 85146 is 2.

Also check out the Least Common Multiple of 85138 and 85146