What is the Greatest Common Factor of 84614 and 84626?

Greatest common factor (GCF) of 84614 and 84626 is 2.

GCF(84614,84626) = 2

We will now calculate the prime factors of 84614 and 84626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84614 and 84626.

How to find the GCF of 84614 and 84626?

We will first find the prime factorization of 84614 and 84626. After we will calculate the factors of 84614 and 84626 and find the biggest common factor number .

Step-1: Prime Factorization of 84614

Prime factors of 84614 are 2, 42307. Prime factorization of 84614 in exponential form is:

84614 = 2¹ × 42307¹

Step-2: 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-3: Factors of 84614

List of positive integer factors of 84614 that divides 84614 without a remainder.

1, 2, 42307

Step-4: Factors of 84626

List of positive integer factors of 84626 that divides 84614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84614 and 84626. The biggest common factor number is the GCF number.
So the greatest common factor 84614 and 84626 is 2.

Also check out the Least Common Multiple of 84614 and 84626