What is the Greatest Common Factor of 50498 and 50518?

Greatest common factor (GCF) of 50498 and 50518 is 2.

GCF(50498,50518) = 2

We will now calculate the prime factors of 50498 and 50518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50498 and 50518.

How to find the GCF of 50498 and 50518?

We will first find the prime factorization of 50498 and 50518. After we will calculate the factors of 50498 and 50518 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50518

Prime factors of 50518 are 2, 13, 29, 67. Prime factorization of 50518 in exponential form is:

50518 = 2¹ × 13¹ × 29¹ × 67¹

Step-3: Factors of 50498

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

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

Step-4: Factors of 50518

List of positive integer factors of 50518 that divides 50498 without a remainder.

1, 2, 13, 26, 29, 58, 67, 134, 377, 754, 871, 1742, 1943, 3886, 25259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50498 and 50518. The biggest common factor number is the GCF number.
So the greatest common factor 50498 and 50518 is 2.

Also check out the Least Common Multiple of 50498 and 50518