What is the Greatest Common Factor of 47978 and 47989?

Greatest common factor (GCF) of 47978 and 47989 is 1.

GCF(47978,47989) = 1

We will now calculate the prime factors of 47978 and 47989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47978 and 47989.

How to find the GCF of 47978 and 47989?

We will first find the prime factorization of 47978 and 47989. After we will calculate the factors of 47978 and 47989 and find the biggest common factor number .

Step-1: Prime Factorization of 47978

Prime factors of 47978 are 2, 7, 23, 149. Prime factorization of 47978 in exponential form is:

47978 = 2¹ × 7¹ × 23¹ × 149¹

Step-2: Prime Factorization of 47989

Prime factors of 47989 are 37, 1297. Prime factorization of 47989 in exponential form is:

47989 = 37¹ × 1297¹

Step-3: Factors of 47978

List of positive integer factors of 47978 that divides 47978 without a remainder.

1, 2, 7, 14, 23, 46, 149, 161, 298, 322, 1043, 2086, 3427, 6854, 23989

Step-4: Factors of 47989

List of positive integer factors of 47989 that divides 47978 without a remainder.

1, 37, 1297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47978 and 47989. The biggest common factor number is the GCF number.
So the greatest common factor 47978 and 47989 is 1.

Also check out the Least Common Multiple of 47978 and 47989