What is the Greatest Common Factor of 50037 and 50052?

Greatest common factor (GCF) of 50037 and 50052 is 3.

GCF(50037,50052) = 3

We will now calculate the prime factors of 50037 and 50052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50037 and 50052.

How to find the GCF of 50037 and 50052?

We will first find the prime factorization of 50037 and 50052. After we will calculate the factors of 50037 and 50052 and find the biggest common factor number .

Step-1: Prime Factorization of 50037

Prime factors of 50037 are 3, 13, 1283. Prime factorization of 50037 in exponential form is:

50037 = 3¹ × 13¹ × 1283¹

Step-2: Prime Factorization of 50052

Prime factors of 50052 are 2, 3, 43, 97. Prime factorization of 50052 in exponential form is:

50052 = 2² × 3¹ × 43¹ × 97¹

Step-3: Factors of 50037

List of positive integer factors of 50037 that divides 50037 without a remainder.

1, 3, 13, 39, 1283, 3849, 16679

Step-4: Factors of 50052

List of positive integer factors of 50052 that divides 50037 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 97, 129, 172, 194, 258, 291, 388, 516, 582, 1164, 4171, 8342, 12513, 16684, 25026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50037 and 50052. The biggest common factor number is the GCF number.
So the greatest common factor 50037 and 50052 is 3.

Also check out the Least Common Multiple of 50037 and 50052