What is the Greatest Common Factor of 44972 and 44989?

Greatest common factor (GCF) of 44972 and 44989 is 1.

GCF(44972,44989) = 1

We will now calculate the prime factors of 44972 and 44989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44972 and 44989.

How to find the GCF of 44972 and 44989?

We will first find the prime factorization of 44972 and 44989. After we will calculate the factors of 44972 and 44989 and find the biggest common factor number .

Step-1: Prime Factorization of 44972

Prime factors of 44972 are 2, 11243. Prime factorization of 44972 in exponential form is:

44972 = 2² × 11243¹

Step-2: Prime Factorization of 44989

Prime factors of 44989 are 7, 6427. Prime factorization of 44989 in exponential form is:

44989 = 7¹ × 6427¹

Step-3: Factors of 44972

List of positive integer factors of 44972 that divides 44972 without a remainder.

1, 2, 4, 11243, 22486

Step-4: Factors of 44989

List of positive integer factors of 44989 that divides 44972 without a remainder.

1, 7, 6427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44972 and 44989. The biggest common factor number is the GCF number.
So the greatest common factor 44972 and 44989 is 1.

Also check out the Least Common Multiple of 44972 and 44989