What is the Greatest Common Factor of 47844 and 47857?

Greatest common factor (GCF) of 47844 and 47857 is 1.

GCF(47844,47857) = 1

We will now calculate the prime factors of 47844 and 47857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47844 and 47857.

How to find the GCF of 47844 and 47857?

We will first find the prime factorization of 47844 and 47857. After we will calculate the factors of 47844 and 47857 and find the biggest common factor number .

Step-1: Prime Factorization of 47844

Prime factors of 47844 are 2, 3, 443. Prime factorization of 47844 in exponential form is:

47844 = 2² × 3³ × 443¹

Step-2: Prime Factorization of 47857

Prime factors of 47857 are 47857. Prime factorization of 47857 in exponential form is:

47857 = 47857¹

Step-3: Factors of 47844

List of positive integer factors of 47844 that divides 47844 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 443, 886, 1329, 1772, 2658, 3987, 5316, 7974, 11961, 15948, 23922

Step-4: Factors of 47857

List of positive integer factors of 47857 that divides 47844 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47844 and 47857. The biggest common factor number is the GCF number.
So the greatest common factor 47844 and 47857 is 1.

Also check out the Least Common Multiple of 47844 and 47857