GCF and LCM Calculator Logo

What is the Greatest Common Factor of 9638 and 9650?

Greatest common factor (GCF) of 9638 and 9650 is 2.

GCF(9638,9650) = 2

We will now calculate the prime factors of 9638 and 9650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9638 and 9650.

GCF Calculator and
and

How to find the GCF of 9638 and 9650?

We will first find the prime factorization of 9638 and 9650. After we will calculate the factors of 9638 and 9650 and find the biggest common factor number .

Step-1: Prime Factorization of 9638

Prime factors of 9638 are 2, 61, 79. Prime factorization of 9638 in exponential form is:

9638 = 21 × 611 × 791

Step-2: Prime Factorization of 9650

Prime factors of 9650 are 2, 5, 193. Prime factorization of 9650 in exponential form is:

9650 = 21 × 52 × 1931

Step-3: Factors of 9638

List of positive integer factors of 9638 that divides 9638 without a remainder.

1, 2, 61, 79, 122, 158, 4819

Step-4: Factors of 9650

List of positive integer factors of 9650 that divides 9638 without a remainder.

1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9638 and 9650. The biggest common factor number is the GCF number.
So the greatest common factor 9638 and 9650 is 2.

Also check out the Least Common Multiple of 9638 and 9650