What is the Greatest Common Factor of 84251 and 84258?

Greatest common factor (GCF) of 84251 and 84258 is 1.

GCF(84251,84258) = 1

We will now calculate the prime factors of 84251 and 84258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84251 and 84258.

How to find the GCF of 84251 and 84258?

We will first find the prime factorization of 84251 and 84258. After we will calculate the factors of 84251 and 84258 and find the biggest common factor number .

Step-1: Prime Factorization of 84251

Prime factors of 84251 are 173, 487. Prime factorization of 84251 in exponential form is:

84251 = 173¹ × 487¹

Step-2: 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-3: Factors of 84251

List of positive integer factors of 84251 that divides 84251 without a remainder.

1, 173, 487

Step-4: Factors of 84258

List of positive integer factors of 84258 that divides 84251 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84251 and 84258. The biggest common factor number is the GCF number.
So the greatest common factor 84251 and 84258 is 1.

Also check out the Least Common Multiple of 84251 and 84258