What is the Greatest Common Factor of 50007 and 50022?

Greatest common factor (GCF) of 50007 and 50022 is 3.

GCF(50007,50022) = 3

We will now calculate the prime factors of 50007 and 50022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50007 and 50022.

How to find the GCF of 50007 and 50022?

We will first find the prime factorization of 50007 and 50022. After we will calculate the factors of 50007 and 50022 and find the biggest common factor number .

Step-1: Prime Factorization of 50007

Prime factors of 50007 are 3, 79, 211. Prime factorization of 50007 in exponential form is:

50007 = 3¹ × 79¹ × 211¹

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 50007

List of positive integer factors of 50007 that divides 50007 without a remainder.

1, 3, 79, 211, 237, 633, 16669

Step-4: Factors of 50022

List of positive integer factors of 50022 that divides 50007 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 50007 and 50022. The biggest common factor number is the GCF number.
So the greatest common factor 50007 and 50022 is 3.

Also check out the Least Common Multiple of 50007 and 50022