What is the Greatest Common Factor of 84493 and 84512?

Greatest common factor (GCF) of 84493 and 84512 is 19.

GCF(84493,84512) = 19

We will now calculate the prime factors of 84493 and 84512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84493 and 84512.

How to find the GCF of 84493 and 84512?

We will first find the prime factorization of 84493 and 84512. After we will calculate the factors of 84493 and 84512 and find the biggest common factor number .

Step-1: Prime Factorization of 84493

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

84493 = 19¹ × 4447¹

Step-2: Prime Factorization of 84512

Prime factors of 84512 are 2, 19, 139. Prime factorization of 84512 in exponential form is:

84512 = 2⁵ × 19¹ × 139¹

Step-3: Factors of 84493

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

1, 19, 4447

Step-4: Factors of 84512

List of positive integer factors of 84512 that divides 84493 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 139, 152, 278, 304, 556, 608, 1112, 2224, 2641, 4448, 5282, 10564, 21128, 42256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84493 and 84512. The biggest common factor number is the GCF number.
So the greatest common factor 84493 and 84512 is 19.

Also check out the Least Common Multiple of 84493 and 84512