What is the Greatest Common Factor of 47972 and 47989?

Greatest common factor (GCF) of 47972 and 47989 is 1.

GCF(47972,47989) = 1

We will now calculate the prime factors of 47972 and 47989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47972 and 47989.

How to find the GCF of 47972 and 47989?

We will first find the prime factorization of 47972 and 47989. After we will calculate the factors of 47972 and 47989 and find the biggest common factor number .

Step-1: Prime Factorization of 47972

Prime factors of 47972 are 2, 67, 179. Prime factorization of 47972 in exponential form is:

47972 = 2² × 67¹ × 179¹

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 47972

List of positive integer factors of 47972 that divides 47972 without a remainder.

1, 2, 4, 67, 134, 179, 268, 358, 716, 11993, 23986

Step-4: Factors of 47989

List of positive integer factors of 47989 that divides 47972 without a remainder.

1, 37, 1297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47972 and 47989. The biggest common factor number is the GCF number.
So the greatest common factor 47972 and 47989 is 1.

Also check out the Least Common Multiple of 47972 and 47989