What is the Greatest Common Factor of 84500 and 84512?

Greatest common factor (GCF) of 84500 and 84512 is 4.

GCF(84500,84512) = 4

We will now calculate the prime factors of 84500 and 84512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84500 and 84512.

How to find the GCF of 84500 and 84512?

We will first find the prime factorization of 84500 and 84512. After we will calculate the factors of 84500 and 84512 and find the biggest common factor number .

Step-1: Prime Factorization of 84500

Prime factors of 84500 are 2, 5, 13. Prime factorization of 84500 in exponential form is:

84500 = 2² × 5³ × 13²

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 84500

List of positive integer factors of 84500 that divides 84500 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 169, 250, 260, 325, 338, 500, 650, 676, 845, 1300, 1625, 1690, 3250, 3380, 4225, 6500, 8450, 16900, 21125, 42250

Step-4: Factors of 84512

List of positive integer factors of 84512 that divides 84500 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 84500 and 84512. The biggest common factor number is the GCF number.
So the greatest common factor 84500 and 84512 is 4.

Also check out the Least Common Multiple of 84500 and 84512