What is the Greatest Common Factor of 85124 and 85138?

Greatest common factor (GCF) of 85124 and 85138 is 2.

GCF(85124,85138) = 2

We will now calculate the prime factors of 85124 and 85138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85124 and 85138.

How to find the GCF of 85124 and 85138?

We will first find the prime factorization of 85124 and 85138. After we will calculate the factors of 85124 and 85138 and find the biggest common factor number .

Step-1: Prime Factorization of 85124

Prime factors of 85124 are 2, 13, 1637. Prime factorization of 85124 in exponential form is:

85124 = 2² × 13¹ × 1637¹

Step-2: Prime Factorization of 85138

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

85138 = 2¹ × 42569¹

Step-3: Factors of 85124

List of positive integer factors of 85124 that divides 85124 without a remainder.

1, 2, 4, 13, 26, 52, 1637, 3274, 6548, 21281, 42562

Step-4: Factors of 85138

List of positive integer factors of 85138 that divides 85124 without a remainder.

1, 2, 42569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85124 and 85138. The biggest common factor number is the GCF number.
So the greatest common factor 85124 and 85138 is 2.

Also check out the Least Common Multiple of 85124 and 85138