What is the Greatest Common Factor of 50480 and 50498?

Greatest common factor (GCF) of 50480 and 50498 is 2.

GCF(50480,50498) = 2

We will now calculate the prime factors of 50480 and 50498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50480 and 50498.

How to find the GCF of 50480 and 50498?

We will first find the prime factorization of 50480 and 50498. After we will calculate the factors of 50480 and 50498 and find the biggest common factor number .

Step-1: Prime Factorization of 50480

Prime factors of 50480 are 2, 5, 631. Prime factorization of 50480 in exponential form is:

50480 = 2⁴ × 5¹ × 631¹

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 50480

List of positive integer factors of 50480 that divides 50480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 631, 1262, 2524, 3155, 5048, 6310, 10096, 12620, 25240

Step-4: Factors of 50498

List of positive integer factors of 50498 that divides 50480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50480 and 50498. The biggest common factor number is the GCF number.
So the greatest common factor 50480 and 50498 is 2.

Also check out the Least Common Multiple of 50480 and 50498