What is the Greatest Common Factor of 614 and 626?

Greatest common factor (GCF) of 614 and 626 is 2.

GCF(614,626) = 2

We will now calculate the prime factors of 614 and 626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 614 and 626.

How to find the GCF of 614 and 626?

We will first find the prime factorization of 614 and 626. After we will calculate the factors of 614 and 626 and find the biggest common factor number .

Step-1: Prime Factorization of 614

Prime factors of 614 are 2, 307. Prime factorization of 614 in exponential form is:

614 = 2¹ × 307¹

Step-2: Prime Factorization of 626

Prime factors of 626 are 2, 313. Prime factorization of 626 in exponential form is:

626 = 2¹ × 313¹

Step-3: Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1, 2, 307

Step-4: Factors of 626

List of positive integer factors of 626 that divides 614 without a remainder.

1, 2, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 614 and 626. The biggest common factor number is the GCF number.
So the greatest common factor 614 and 626 is 2.

Also check out the Least Common Multiple of 614 and 626