What is the Greatest Common Factor of 50013 and 50022?

Greatest common factor (GCF) of 50013 and 50022 is 9.

GCF(50013,50022) = 9

We will now calculate the prime factors of 50013 and 50022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50013 and 50022.

How to find the GCF of 50013 and 50022?

We will first find the prime factorization of 50013 and 50022. After we will calculate the factors of 50013 and 50022 and find the biggest common factor number .

Step-1: Prime Factorization of 50013

Prime factors of 50013 are 3, 5557. Prime factorization of 50013 in exponential form is:

50013 = 3² × 5557¹

Step-2: 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-3: Factors of 50013

List of positive integer factors of 50013 that divides 50013 without a remainder.

1, 3, 9, 5557, 16671

Step-4: Factors of 50022

List of positive integer factors of 50022 that divides 50013 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50013 and 50022. The biggest common factor number is the GCF number.
So the greatest common factor 50013 and 50022 is 9.

Also check out the Least Common Multiple of 50013 and 50022