What is the Greatest Common Factor of 50488 and 50502?

Greatest common factor (GCF) of 50488 and 50502 is 2.

GCF(50488,50502) = 2

We will now calculate the prime factors of 50488 and 50502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50488 and 50502.

How to find the GCF of 50488 and 50502?

We will first find the prime factorization of 50488 and 50502. After we will calculate the factors of 50488 and 50502 and find the biggest common factor number .

Step-1: Prime Factorization of 50488

Prime factors of 50488 are 2, 6311. Prime factorization of 50488 in exponential form is:

50488 = 2³ × 6311¹

Step-2: Prime Factorization of 50502

Prime factors of 50502 are 2, 3, 19, 443. Prime factorization of 50502 in exponential form is:

50502 = 2¹ × 3¹ × 19¹ × 443¹

Step-3: Factors of 50488

List of positive integer factors of 50488 that divides 50488 without a remainder.

1, 2, 4, 8, 6311, 12622, 25244

Step-4: Factors of 50502

List of positive integer factors of 50502 that divides 50488 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 443, 886, 1329, 2658, 8417, 16834, 25251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50488 and 50502. The biggest common factor number is the GCF number.
So the greatest common factor 50488 and 50502 is 2.

Also check out the Least Common Multiple of 50488 and 50502