What is the Greatest Common Factor of 84512 and 84531?

Greatest common factor (GCF) of 84512 and 84531 is 19.

GCF(84512,84531) = 19

We will now calculate the prime factors of 84512 and 84531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84512 and 84531.

How to find the GCF of 84512 and 84531?

We will first find the prime factorization of 84512 and 84531. After we will calculate the factors of 84512 and 84531 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84531

Prime factors of 84531 are 3, 19, 1483. Prime factorization of 84531 in exponential form is:

84531 = 3¹ × 19¹ × 1483¹

Step-3: Factors of 84512

List of positive integer factors of 84512 that divides 84512 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

Step-4: Factors of 84531

List of positive integer factors of 84531 that divides 84512 without a remainder.

1, 3, 19, 57, 1483, 4449, 28177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84512 and 84531. The biggest common factor number is the GCF number.
So the greatest common factor 84512 and 84531 is 19.

Also check out the Least Common Multiple of 84512 and 84531