What is the Greatest Common Factor of 4988 and 4997?

Greatest common factor (GCF) of 4988 and 4997 is 1.

GCF(4988,4997) = 1

We will now calculate the prime factors of 4988 and 4997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4988 and 4997.

How to find the GCF of 4988 and 4997?

We will first find the prime factorization of 4988 and 4997. After we will calculate the factors of 4988 and 4997 and find the biggest common factor number .

Step-1: Prime Factorization of 4988

Prime factors of 4988 are 2, 29, 43. Prime factorization of 4988 in exponential form is:

4988 = 2² × 29¹ × 43¹

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 4988

List of positive integer factors of 4988 that divides 4988 without a remainder.

1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494

Step-4: Factors of 4997

List of positive integer factors of 4997 that divides 4988 without a remainder.

1, 19, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4988 and 4997. The biggest common factor number is the GCF number.
So the greatest common factor 4988 and 4997 is 1.

Also check out the Least Common Multiple of 4988 and 4997