What is the Greatest Common Factor of 4991 and 4998?

Greatest common factor (GCF) of 4991 and 4998 is 7.

GCF(4991,4998) = 7

We will now calculate the prime factors of 4991 and 4998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4991 and 4998.

How to find the GCF of 4991 and 4998?

We will first find the prime factorization of 4991 and 4998. After we will calculate the factors of 4991 and 4998 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 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 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 4998

List of positive integer factors of 4998 that divides 4991 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 4991 and 4998. The biggest common factor number is the GCF number.
So the greatest common factor 4991 and 4998 is 7.

Also check out the Least Common Multiple of 4991 and 4998