What is the Greatest Common Factor of 4981 and 4998?

Greatest common factor (GCF) of 4981 and 4998 is 17.

GCF(4981,4998) = 17

We will now calculate the prime factors of 4981 and 4998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4981 and 4998.

How to find the GCF of 4981 and 4998?

We will first find the prime factorization of 4981 and 4998. After we will calculate the factors of 4981 and 4998 and find the biggest common factor number .

Step-1: Prime Factorization of 4981

Prime factors of 4981 are 17, 293. Prime factorization of 4981 in exponential form is:

4981 = 17¹ × 293¹

Step-2: Prime Factorization of 4998

Prime factors of 4998 are 2, 3, 7, 17. Prime factorization of 4998 in exponential form is:

4998 = 2¹ × 3¹ × 7² × 17¹

Step-3: Factors of 4981

List of positive integer factors of 4981 that divides 4981 without a remainder.

1, 17, 293

Step-4: Factors of 4998

List of positive integer factors of 4998 that divides 4981 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 49, 51, 98, 102, 119, 147, 238, 294, 357, 714, 833, 1666, 2499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4981 and 4998. The biggest common factor number is the GCF number.
So the greatest common factor 4981 and 4998 is 17.

Also check out the Least Common Multiple of 4981 and 4998