What is the Greatest Common Factor of 84474 and 84493?

Greatest common factor (GCF) of 84474 and 84493 is 19.

GCF(84474,84493) = 19

We will now calculate the prime factors of 84474 and 84493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84474 and 84493.

How to find the GCF of 84474 and 84493?

We will first find the prime factorization of 84474 and 84493. After we will calculate the factors of 84474 and 84493 and find the biggest common factor number .

Step-1: Prime Factorization of 84474

Prime factors of 84474 are 2, 3, 13, 19. Prime factorization of 84474 in exponential form is:

84474 = 2¹ × 3² × 13¹ × 19²

Step-2: Prime Factorization of 84493

Prime factors of 84493 are 19, 4447. Prime factorization of 84493 in exponential form is:

84493 = 19¹ × 4447¹

Step-3: Factors of 84474

List of positive integer factors of 84474 that divides 84474 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 361, 494, 722, 741, 1083, 1482, 2166, 2223, 3249, 4446, 4693, 6498, 9386, 14079, 28158, 42237

Step-4: Factors of 84493

List of positive integer factors of 84493 that divides 84474 without a remainder.

1, 19, 4447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84474 and 84493. The biggest common factor number is the GCF number.
So the greatest common factor 84474 and 84493 is 19.

Also check out the Least Common Multiple of 84474 and 84493