What is the Greatest Common Factor of 50348 and 50352?

Greatest common factor (GCF) of 50348 and 50352 is 4.

GCF(50348,50352) = 4

We will now calculate the prime factors of 50348 and 50352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50348 and 50352.

How to find the GCF of 50348 and 50352?

We will first find the prime factorization of 50348 and 50352. After we will calculate the factors of 50348 and 50352 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 50352

Prime factors of 50352 are 2, 3, 1049. Prime factorization of 50352 in exponential form is:

50352 = 2⁴ × 3¹ × 1049¹

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 50352

List of positive integer factors of 50352 that divides 50348 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1049, 2098, 3147, 4196, 6294, 8392, 12588, 16784, 25176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50348 and 50352. The biggest common factor number is the GCF number.
So the greatest common factor 50348 and 50352 is 4.

Also check out the Least Common Multiple of 50348 and 50352