What is the Greatest Common Factor of 50365 and 50372?

Greatest common factor (GCF) of 50365 and 50372 is 7.

GCF(50365,50372) = 7

We will now calculate the prime factors of 50365 and 50372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50365 and 50372.

How to find the GCF of 50365 and 50372?

We will first find the prime factorization of 50365 and 50372. After we will calculate the factors of 50365 and 50372 and find the biggest common factor number .

Step-1: Prime Factorization of 50365

Prime factors of 50365 are 5, 7, 1439. Prime factorization of 50365 in exponential form is:

50365 = 5¹ × 7¹ × 1439¹

Step-2: Prime Factorization of 50372

Prime factors of 50372 are 2, 7, 257. Prime factorization of 50372 in exponential form is:

50372 = 2² × 7² × 257¹

Step-3: Factors of 50365

List of positive integer factors of 50365 that divides 50365 without a remainder.

1, 5, 7, 35, 1439, 7195, 10073

Step-4: Factors of 50372

List of positive integer factors of 50372 that divides 50365 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 257, 514, 1028, 1799, 3598, 7196, 12593, 25186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50365 and 50372. The biggest common factor number is the GCF number.
So the greatest common factor 50365 and 50372 is 7.

Also check out the Least Common Multiple of 50365 and 50372