What is the Greatest Common Factor of 85004 and 85022?

Greatest common factor (GCF) of 85004 and 85022 is 2.

GCF(85004,85022) = 2

We will now calculate the prime factors of 85004 and 85022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85004 and 85022.

How to find the GCF of 85004 and 85022?

We will first find the prime factorization of 85004 and 85022. After we will calculate the factors of 85004 and 85022 and find the biggest common factor number .

Step-1: Prime Factorization of 85004

Prime factors of 85004 are 2, 79, 269. Prime factorization of 85004 in exponential form is:

85004 = 2² × 79¹ × 269¹

Step-2: Prime Factorization of 85022

Prime factors of 85022 are 2, 7, 6073. Prime factorization of 85022 in exponential form is:

85022 = 2¹ × 7¹ × 6073¹

Step-3: Factors of 85004

List of positive integer factors of 85004 that divides 85004 without a remainder.

1, 2, 4, 79, 158, 269, 316, 538, 1076, 21251, 42502

Step-4: Factors of 85022

List of positive integer factors of 85022 that divides 85004 without a remainder.

1, 2, 7, 14, 6073, 12146, 42511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85004 and 85022. The biggest common factor number is the GCF number.
So the greatest common factor 85004 and 85022 is 2.

Also check out the Least Common Multiple of 85004 and 85022