What is the Greatest Common Factor of 47632 and 47645?

Greatest common factor (GCF) of 47632 and 47645 is 13.

GCF(47632,47645) = 13

We will now calculate the prime factors of 47632 and 47645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47632 and 47645.

How to find the GCF of 47632 and 47645?

We will first find the prime factorization of 47632 and 47645. After we will calculate the factors of 47632 and 47645 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 47645

Prime factors of 47645 are 5, 13, 733. Prime factorization of 47645 in exponential form is:

47645 = 5¹ × 13¹ × 733¹

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 47645

List of positive integer factors of 47645 that divides 47632 without a remainder.

1, 5, 13, 65, 733, 3665, 9529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47632 and 47645. The biggest common factor number is the GCF number.
So the greatest common factor 47632 and 47645 is 13.

Also check out the Least Common Multiple of 47632 and 47645