What is the Greatest Common Factor of 82546 and 82564?

Greatest common factor (GCF) of 82546 and 82564 is 2.

GCF(82546,82564) = 2

We will now calculate the prime factors of 82546 and 82564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82546 and 82564.

How to find the GCF of 82546 and 82564?

We will first find the prime factorization of 82546 and 82564. After we will calculate the factors of 82546 and 82564 and find the biggest common factor number .

Step-1: Prime Factorization of 82546

Prime factors of 82546 are 2, 149, 277. Prime factorization of 82546 in exponential form is:

82546 = 2¹ × 149¹ × 277¹

Step-2: Prime Factorization of 82564

Prime factors of 82564 are 2, 20641. Prime factorization of 82564 in exponential form is:

82564 = 2² × 20641¹

Step-3: Factors of 82546

List of positive integer factors of 82546 that divides 82546 without a remainder.

1, 2, 149, 277, 298, 554, 41273

Step-4: Factors of 82564

List of positive integer factors of 82564 that divides 82546 without a remainder.

1, 2, 4, 20641, 41282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82546 and 82564. The biggest common factor number is the GCF number.
So the greatest common factor 82546 and 82564 is 2.

Also check out the Least Common Multiple of 82546 and 82564