What is the Greatest Common Factor of 84512 and 84526?

Greatest common factor (GCF) of 84512 and 84526 is 2.

GCF(84512,84526) = 2

We will now calculate the prime factors of 84512 and 84526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84512 and 84526.

How to find the GCF of 84512 and 84526?

We will first find the prime factorization of 84512 and 84526. After we will calculate the factors of 84512 and 84526 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 84526

Prime factors of 84526 are 2, 13, 3251. Prime factorization of 84526 in exponential form is:

84526 = 2¹ × 13¹ × 3251¹

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 84526

List of positive integer factors of 84526 that divides 84512 without a remainder.

1, 2, 13, 26, 3251, 6502, 42263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84512 and 84526. The biggest common factor number is the GCF number.
So the greatest common factor 84512 and 84526 is 2.

Also check out the Least Common Multiple of 84512 and 84526