What is the Greatest Common Factor of 4991 and 4997?

Greatest common factor (GCF) of 4991 and 4997 is 1.

GCF(4991,4997) = 1

We will now calculate the prime factors of 4991 and 4997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4991 and 4997.

How to find the GCF of 4991 and 4997?

We will first find the prime factorization of 4991 and 4997. After we will calculate the factors of 4991 and 4997 and find the biggest common factor number .

Step-1: Prime Factorization of 4991

Prime factors of 4991 are 7, 23, 31. Prime factorization of 4991 in exponential form is:

4991 = 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 4997

Prime factors of 4997 are 19, 263. Prime factorization of 4997 in exponential form is:

4997 = 19¹ × 263¹

Step-3: Factors of 4991

List of positive integer factors of 4991 that divides 4991 without a remainder.

1, 7, 23, 31, 161, 217, 713

Step-4: Factors of 4997

List of positive integer factors of 4997 that divides 4991 without a remainder.

1, 19, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4991 and 4997. The biggest common factor number is the GCF number.
So the greatest common factor 4991 and 4997 is 1.

Also check out the Least Common Multiple of 4991 and 4997