What is the Greatest Common Factor of 50022 and 50037?

Greatest common factor (GCF) of 50022 and 50037 is 3.

GCF(50022,50037) = 3

We will now calculate the prime factors of 50022 and 50037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50022 and 50037.

How to find the GCF of 50022 and 50037?

We will first find the prime factorization of 50022 and 50037. After we will calculate the factors of 50022 and 50037 and find the biggest common factor number .

Step-1: Prime Factorization of 50022

Prime factors of 50022 are 2, 3, 7, 397. Prime factorization of 50022 in exponential form is:

50022 = 2¹ × 3² × 7¹ × 397¹

Step-2: 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-3: Factors of 50022

List of positive integer factors of 50022 that divides 50022 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 397, 794, 1191, 2382, 2779, 3573, 5558, 7146, 8337, 16674, 25011

Step-4: Factors of 50037

List of positive integer factors of 50037 that divides 50022 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50022 and 50037. The biggest common factor number is the GCF number.
So the greatest common factor 50022 and 50037 is 3.

Also check out the Least Common Multiple of 50022 and 50037