What is the Greatest Common Factor of 638 and 650?

Greatest common factor (GCF) of 638 and 650 is 2.

GCF(638,650) = 2

We will now calculate the prime factors of 638 and 650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 638 and 650.

How to find the GCF of 638 and 650?

We will first find the prime factorization of 638 and 650. After we will calculate the factors of 638 and 650 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 650

Prime factors of 650 are 2, 5, 13. Prime factorization of 650 in exponential form is:

650 = 2¹ × 5² × 13¹

Step-3: Factors of 638

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

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

Step-4: Factors of 650

List of positive integer factors of 650 that divides 638 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 638 and 650. The biggest common factor number is the GCF number.
So the greatest common factor 638 and 650 is 2.

Also check out the Least Common Multiple of 638 and 650