What is the Greatest Common Factor of 84238 and 84258?

Greatest common factor (GCF) of 84238 and 84258 is 2.

GCF(84238,84258) = 2

We will now calculate the prime factors of 84238 and 84258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84238 and 84258.

How to find the GCF of 84238 and 84258?

We will first find the prime factorization of 84238 and 84258. After we will calculate the factors of 84238 and 84258 and find the biggest common factor number .

Step-1: Prime Factorization of 84238

Prime factors of 84238 are 2, 7, 11, 547. Prime factorization of 84238 in exponential form is:

84238 = 2¹ × 7¹ × 11¹ × 547¹

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 84238

List of positive integer factors of 84238 that divides 84238 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 547, 1094, 3829, 6017, 7658, 12034, 42119

Step-4: Factors of 84258

List of positive integer factors of 84258 that divides 84238 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 84238 and 84258. The biggest common factor number is the GCF number.
So the greatest common factor 84238 and 84258 is 2.

Also check out the Least Common Multiple of 84238 and 84258