What is the Greatest Common Factor of 47828 and 47847?

Greatest common factor (GCF) of 47828 and 47847 is 1.

GCF(47828,47847) = 1

We will now calculate the prime factors of 47828 and 47847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47828 and 47847.

How to find the GCF of 47828 and 47847?

We will first find the prime factorization of 47828 and 47847. After we will calculate the factors of 47828 and 47847 and find the biggest common factor number .

Step-1: Prime Factorization of 47828

Prime factors of 47828 are 2, 11, 1087. Prime factorization of 47828 in exponential form is:

47828 = 2² × 11¹ × 1087¹

Step-2: Prime Factorization of 47847

Prime factors of 47847 are 3, 41, 389. Prime factorization of 47847 in exponential form is:

47847 = 3¹ × 41¹ × 389¹

Step-3: Factors of 47828

List of positive integer factors of 47828 that divides 47828 without a remainder.

1, 2, 4, 11, 22, 44, 1087, 2174, 4348, 11957, 23914

Step-4: Factors of 47847

List of positive integer factors of 47847 that divides 47828 without a remainder.

1, 3, 41, 123, 389, 1167, 15949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47828 and 47847. The biggest common factor number is the GCF number.
So the greatest common factor 47828 and 47847 is 1.

Also check out the Least Common Multiple of 47828 and 47847