What is the Greatest Common Factor of 51498 and 51502?

Greatest common factor (GCF) of 51498 and 51502 is 2.

GCF(51498,51502) = 2

We will now calculate the prime factors of 51498 and 51502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51498 and 51502.

How to find the GCF of 51498 and 51502?

We will first find the prime factorization of 51498 and 51502. After we will calculate the factors of 51498 and 51502 and find the biggest common factor number .

Step-1: Prime Factorization of 51498

Prime factors of 51498 are 2, 3, 2861. Prime factorization of 51498 in exponential form is:

51498 = 2¹ × 3² × 2861¹

Step-2: Prime Factorization of 51502

Prime factors of 51502 are 2, 11, 2341. Prime factorization of 51502 in exponential form is:

51502 = 2¹ × 11¹ × 2341¹

Step-3: Factors of 51498

List of positive integer factors of 51498 that divides 51498 without a remainder.

1, 2, 3, 6, 9, 18, 2861, 5722, 8583, 17166, 25749

Step-4: Factors of 51502

List of positive integer factors of 51502 that divides 51498 without a remainder.

1, 2, 11, 22, 2341, 4682, 25751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51498 and 51502. The biggest common factor number is the GCF number.
So the greatest common factor 51498 and 51502 is 2.

Also check out the Least Common Multiple of 51498 and 51502