What is the Greatest Common Factor of 30635 and 30650?

Greatest common factor (GCF) of 30635 and 30650 is 5.

GCF(30635,30650) = 5

We will now calculate the prime factors of 30635 and 30650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30635 and 30650.

How to find the GCF of 30635 and 30650?

We will first find the prime factorization of 30635 and 30650. After we will calculate the factors of 30635 and 30650 and find the biggest common factor number .

Step-1: Prime Factorization of 30635

Prime factors of 30635 are 5, 11, 557. Prime factorization of 30635 in exponential form is:

30635 = 5¹ × 11¹ × 557¹

Step-2: Prime Factorization of 30650

Prime factors of 30650 are 2, 5, 613. Prime factorization of 30650 in exponential form is:

30650 = 2¹ × 5² × 613¹

Step-3: Factors of 30635

List of positive integer factors of 30635 that divides 30635 without a remainder.

1, 5, 11, 55, 557, 2785, 6127

Step-4: Factors of 30650

List of positive integer factors of 30650 that divides 30635 without a remainder.

1, 2, 5, 10, 25, 50, 613, 1226, 3065, 6130, 15325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30635 and 30650. The biggest common factor number is the GCF number.
So the greatest common factor 30635 and 30650 is 5.

Also check out the Least Common Multiple of 30635 and 30650