What is the Greatest Common Factor of 30646 and 30653?

Greatest common factor (GCF) of 30646 and 30653 is 7.

GCF(30646,30653) = 7

We will now calculate the prime factors of 30646 and 30653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30646 and 30653.

How to find the GCF of 30646 and 30653?

We will first find the prime factorization of 30646 and 30653. After we will calculate the factors of 30646 and 30653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30653

Prime factors of 30653 are 7, 29, 151. Prime factorization of 30653 in exponential form is:

30653 = 7¹ × 29¹ × 151¹

Step-3: Factors of 30646

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

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

Step-4: Factors of 30653

List of positive integer factors of 30653 that divides 30646 without a remainder.

1, 7, 29, 151, 203, 1057, 4379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30646 and 30653. The biggest common factor number is the GCF number.
So the greatest common factor 30646 and 30653 is 7.

Also check out the Least Common Multiple of 30646 and 30653