What is the Greatest Common Factor of 626 and 638?

Greatest common factor (GCF) of 626 and 638 is 2.

GCF(626,638) = 2

We will now calculate the prime factors of 626 and 638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 626 and 638.

How to find the GCF of 626 and 638?

We will first find the prime factorization of 626 and 638. After we will calculate the factors of 626 and 638 and find the biggest common factor number .

Step-1: Prime Factorization of 626

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

626 = 2¹ × 313¹

Step-2: Prime Factorization of 638

Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:

638 = 2¹ × 11¹ × 29¹

Step-3: Factors of 626

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

1, 2, 313

Step-4: Factors of 638

List of positive integer factors of 638 that divides 626 without a remainder.

1, 2, 11, 22, 29, 58, 319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 626 and 638. The biggest common factor number is the GCF number.
So the greatest common factor 626 and 638 is 2.

Also check out the Least Common Multiple of 626 and 638