What is the Greatest Common Factor of 84626 and 84646?

Greatest common factor (GCF) of 84626 and 84646 is 2.

GCF(84626,84646) = 2

We will now calculate the prime factors of 84626 and 84646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84626 and 84646.

How to find the GCF of 84626 and 84646?

We will first find the prime factorization of 84626 and 84646. After we will calculate the factors of 84626 and 84646 and find the biggest common factor number .

Step-1: Prime Factorization of 84626

Prime factors of 84626 are 2, 17, 19, 131. Prime factorization of 84626 in exponential form is:

84626 = 2¹ × 17¹ × 19¹ × 131¹

Step-2: Prime Factorization of 84646

Prime factors of 84646 are 2, 42323. Prime factorization of 84646 in exponential form is:

84646 = 2¹ × 42323¹

Step-3: Factors of 84626

List of positive integer factors of 84626 that divides 84626 without a remainder.

1, 2, 17, 19, 34, 38, 131, 262, 323, 646, 2227, 2489, 4454, 4978, 42313

Step-4: Factors of 84646

List of positive integer factors of 84646 that divides 84626 without a remainder.

1, 2, 42323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84626 and 84646. The biggest common factor number is the GCF number.
So the greatest common factor 84626 and 84646 is 2.

Also check out the Least Common Multiple of 84626 and 84646