What is the Greatest Common Factor of 50491 and 50498?

Greatest common factor (GCF) of 50491 and 50498 is 7.

GCF(50491,50498) = 7

We will now calculate the prime factors of 50491 and 50498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50491 and 50498.

How to find the GCF of 50491 and 50498?

We will first find the prime factorization of 50491 and 50498. After we will calculate the factors of 50491 and 50498 and find the biggest common factor number .

Step-1: Prime Factorization of 50491

Prime factors of 50491 are 7, 7213. Prime factorization of 50491 in exponential form is:

50491 = 7¹ × 7213¹

Step-2: Prime Factorization of 50498

Prime factors of 50498 are 2, 7, 3607. Prime factorization of 50498 in exponential form is:

50498 = 2¹ × 7¹ × 3607¹

Step-3: Factors of 50491

List of positive integer factors of 50491 that divides 50491 without a remainder.

1, 7, 7213

Step-4: Factors of 50498

List of positive integer factors of 50498 that divides 50491 without a remainder.

1, 2, 7, 14, 3607, 7214, 25249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50491 and 50498. The biggest common factor number is the GCF number.
So the greatest common factor 50491 and 50498 is 7.

Also check out the Least Common Multiple of 50491 and 50498