What is the Greatest Common Factor of 54986 and 54997?

Greatest common factor (GCF) of 54986 and 54997 is 1.

GCF(54986,54997) = 1

We will now calculate the prime factors of 54986 and 54997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54986 and 54997.

How to find the GCF of 54986 and 54997?

We will first find the prime factorization of 54986 and 54997. After we will calculate the factors of 54986 and 54997 and find the biggest common factor number .

Step-1: Prime Factorization of 54986

Prime factors of 54986 are 2, 19, 1447. Prime factorization of 54986 in exponential form is:

54986 = 2¹ × 19¹ × 1447¹

Step-2: Prime Factorization of 54997

Prime factors of 54997 are 43, 1279. Prime factorization of 54997 in exponential form is:

54997 = 43¹ × 1279¹

Step-3: Factors of 54986

List of positive integer factors of 54986 that divides 54986 without a remainder.

1, 2, 19, 38, 1447, 2894, 27493

Step-4: Factors of 54997

List of positive integer factors of 54997 that divides 54986 without a remainder.

1, 43, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54986 and 54997. The biggest common factor number is the GCF number.
So the greatest common factor 54986 and 54997 is 1.

Also check out the Least Common Multiple of 54986 and 54997