What is the Greatest Common Factor of 47842 and 47857?

Greatest common factor (GCF) of 47842 and 47857 is 1.

GCF(47842,47857) = 1

We will now calculate the prime factors of 47842 and 47857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47842 and 47857.

How to find the GCF of 47842 and 47857?

We will first find the prime factorization of 47842 and 47857. After we will calculate the factors of 47842 and 47857 and find the biggest common factor number .

Step-1: Prime Factorization of 47842

Prime factors of 47842 are 2, 19, 1259. Prime factorization of 47842 in exponential form is:

47842 = 2¹ × 19¹ × 1259¹

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 47842

List of positive integer factors of 47842 that divides 47842 without a remainder.

1, 2, 19, 38, 1259, 2518, 23921

Step-4: Factors of 47857

List of positive integer factors of 47857 that divides 47842 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47842 and 47857. The biggest common factor number is the GCF number.
So the greatest common factor 47842 and 47857 is 1.

Also check out the Least Common Multiple of 47842 and 47857