What is the Greatest Common Factor of 84512 and 84522?

Greatest common factor (GCF) of 84512 and 84522 is 2.

GCF(84512,84522) = 2

We will now calculate the prime factors of 84512 and 84522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84512 and 84522.

How to find the GCF of 84512 and 84522?

We will first find the prime factorization of 84512 and 84522. After we will calculate the factors of 84512 and 84522 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 84522

Prime factors of 84522 are 2, 3, 14087. Prime factorization of 84522 in exponential form is:

84522 = 2¹ × 3¹ × 14087¹

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 84522

List of positive integer factors of 84522 that divides 84512 without a remainder.

1, 2, 3, 6, 14087, 28174, 42261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84512 and 84522. The biggest common factor number is the GCF number.
So the greatest common factor 84512 and 84522 is 2.

Also check out the Least Common Multiple of 84512 and 84522