What is the Greatest Common Factor of 4998 and 5007?

Greatest common factor (GCF) of 4998 and 5007 is 3.

GCF(4998,5007) = 3

We will now calculate the prime factors of 4998 and 5007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4998 and 5007.

How to find the GCF of 4998 and 5007?

We will first find the prime factorization of 4998 and 5007. After we will calculate the factors of 4998 and 5007 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5007

Prime factors of 5007 are 3, 1669. Prime factorization of 5007 in exponential form is:

5007 = 3¹ × 1669¹

Step-3: Factors of 4998

List of positive integer factors of 4998 that divides 4998 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

Step-4: Factors of 5007

List of positive integer factors of 5007 that divides 4998 without a remainder.

1, 3, 1669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4998 and 5007. The biggest common factor number is the GCF number.
So the greatest common factor 4998 and 5007 is 3.

Also check out the Least Common Multiple of 4998 and 5007