What is the Greatest Common Factor of 30632 and 30646?

Greatest common factor (GCF) of 30632 and 30646 is 14.

GCF(30632,30646) = 14

We will now calculate the prime factors of 30632 and 30646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30632 and 30646.

How to find the GCF of 30632 and 30646?

We will first find the prime factorization of 30632 and 30646. After we will calculate the factors of 30632 and 30646 and find the biggest common factor number .

Step-1: Prime Factorization of 30632

Prime factors of 30632 are 2, 7, 547. Prime factorization of 30632 in exponential form is:

30632 = 2³ × 7¹ × 547¹

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 30632

List of positive integer factors of 30632 that divides 30632 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 547, 1094, 2188, 3829, 4376, 7658, 15316

Step-4: Factors of 30646

List of positive integer factors of 30646 that divides 30632 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 30632 and 30646. The biggest common factor number is the GCF number.
So the greatest common factor 30632 and 30646 is 14.

Also check out the Least Common Multiple of 30632 and 30646