What is the Greatest Common Factor of 30635 and 30646?

Greatest common factor (GCF) of 30635 and 30646 is 11.

GCF(30635,30646) = 11

We will now calculate the prime factors of 30635 and 30646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30635 and 30646.

How to find the GCF of 30635 and 30646?

We will first find the prime factorization of 30635 and 30646. After we will calculate the factors of 30635 and 30646 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 30646

Prime factors of 30646 are 2, 7, 11, 199. Prime factorization of 30646 in exponential form is:

30646 = 2¹ × 7¹ × 11¹ × 199¹

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 30646

List of positive integer factors of 30646 that divides 30635 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 199, 398, 1393, 2189, 2786, 4378, 15323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30635 and 30646. The biggest common factor number is the GCF number.
So the greatest common factor 30635 and 30646 is 11.

Also check out the Least Common Multiple of 30635 and 30646