What is the Greatest Common Factor of 84258 and 84268?

Greatest common factor (GCF) of 84258 and 84268 is 2.

GCF(84258,84268) = 2

We will now calculate the prime factors of 84258 and 84268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84258 and 84268.

How to find the GCF of 84258 and 84268?

We will first find the prime factorization of 84258 and 84268. After we will calculate the factors of 84258 and 84268 and find the biggest common factor number .

Step-1: Prime Factorization of 84258

Prime factors of 84258 are 2, 3, 31, 151. Prime factorization of 84258 in exponential form is:

84258 = 2¹ × 3² × 31¹ × 151¹

Step-2: Prime Factorization of 84268

Prime factors of 84268 are 2, 21067. Prime factorization of 84268 in exponential form is:

84268 = 2² × 21067¹

Step-3: Factors of 84258

List of positive integer factors of 84258 that divides 84258 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 151, 186, 279, 302, 453, 558, 906, 1359, 2718, 4681, 9362, 14043, 28086, 42129

Step-4: Factors of 84268

List of positive integer factors of 84268 that divides 84258 without a remainder.

1, 2, 4, 21067, 42134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84258 and 84268. The biggest common factor number is the GCF number.
So the greatest common factor 84258 and 84268 is 2.

Also check out the Least Common Multiple of 84258 and 84268