What is the Greatest Common Factor of 47632 and 47646?

Greatest common factor (GCF) of 47632 and 47646 is 2.

GCF(47632,47646) = 2

We will now calculate the prime factors of 47632 and 47646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47632 and 47646.

How to find the GCF of 47632 and 47646?

We will first find the prime factorization of 47632 and 47646. After we will calculate the factors of 47632 and 47646 and find the biggest common factor number .

Step-1: Prime Factorization of 47632

Prime factors of 47632 are 2, 13, 229. Prime factorization of 47632 in exponential form is:

47632 = 2⁴ × 13¹ × 229¹

Step-2: Prime Factorization of 47646

Prime factors of 47646 are 2, 3, 2647. Prime factorization of 47646 in exponential form is:

47646 = 2¹ × 3² × 2647¹

Step-3: Factors of 47632

List of positive integer factors of 47632 that divides 47632 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 229, 458, 916, 1832, 2977, 3664, 5954, 11908, 23816

Step-4: Factors of 47646

List of positive integer factors of 47646 that divides 47632 without a remainder.

1, 2, 3, 6, 9, 18, 2647, 5294, 7941, 15882, 23823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47632 and 47646. The biggest common factor number is the GCF number.
So the greatest common factor 47632 and 47646 is 2.

Also check out the Least Common Multiple of 47632 and 47646