What is the Greatest Common Factor of 50348 and 50360?

Greatest common factor (GCF) of 50348 and 50360 is 4.

GCF(50348,50360) = 4

We will now calculate the prime factors of 50348 and 50360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50348 and 50360.

How to find the GCF of 50348 and 50360?

We will first find the prime factorization of 50348 and 50360. After we will calculate the factors of 50348 and 50360 and find the biggest common factor number .

Step-1: Prime Factorization of 50348

Prime factors of 50348 are 2, 41, 307. Prime factorization of 50348 in exponential form is:

50348 = 2² × 41¹ × 307¹

Step-2: Prime Factorization of 50360

Prime factors of 50360 are 2, 5, 1259. Prime factorization of 50360 in exponential form is:

50360 = 2³ × 5¹ × 1259¹

Step-3: Factors of 50348

List of positive integer factors of 50348 that divides 50348 without a remainder.

1, 2, 4, 41, 82, 164, 307, 614, 1228, 12587, 25174

Step-4: Factors of 50360

List of positive integer factors of 50360 that divides 50348 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1259, 2518, 5036, 6295, 10072, 12590, 25180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50348 and 50360. The biggest common factor number is the GCF number.
So the greatest common factor 50348 and 50360 is 4.

Also check out the Least Common Multiple of 50348 and 50360