What is the Greatest Common Factor of 84258 and 84276?

Greatest common factor (GCF) of 84258 and 84276 is 18.

GCF(84258,84276) = 18

We will now calculate the prime factors of 84258 and 84276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84258 and 84276.

How to find the GCF of 84258 and 84276?

We will first find the prime factorization of 84258 and 84276. After we will calculate the factors of 84258 and 84276 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 84276

Prime factors of 84276 are 2, 3, 2341. Prime factorization of 84276 in exponential form is:

84276 = 2² × 3² × 2341¹

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 84276

List of positive integer factors of 84276 that divides 84258 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2341, 4682, 7023, 9364, 14046, 21069, 28092, 42138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84258 and 84276. The biggest common factor number is the GCF number.
So the greatest common factor 84258 and 84276 is 18.

Also check out the Least Common Multiple of 84258 and 84276