What is the Greatest Common Factor of 52003 and 52022?

Greatest common factor (GCF) of 52003 and 52022 is 19.

GCF(52003,52022) = 19

We will now calculate the prime factors of 52003 and 52022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52003 and 52022.

How to find the GCF of 52003 and 52022?

We will first find the prime factorization of 52003 and 52022. After we will calculate the factors of 52003 and 52022 and find the biggest common factor number .

Step-1: Prime Factorization of 52003

Prime factors of 52003 are 7, 17, 19, 23. Prime factorization of 52003 in exponential form is:

52003 = 7¹ × 17¹ × 19¹ × 23¹

Step-2: Prime Factorization of 52022

Prime factors of 52022 are 2, 19, 37. Prime factorization of 52022 in exponential form is:

52022 = 2¹ × 19¹ × 37²

Step-3: Factors of 52003

List of positive integer factors of 52003 that divides 52003 without a remainder.

1, 7, 17, 19, 23, 119, 133, 161, 323, 391, 437, 2261, 2737, 3059, 7429

Step-4: Factors of 52022

List of positive integer factors of 52022 that divides 52003 without a remainder.

1, 2, 19, 37, 38, 74, 703, 1369, 1406, 2738, 26011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52003 and 52022. The biggest common factor number is the GCF number.
So the greatest common factor 52003 and 52022 is 19.

Also check out the Least Common Multiple of 52003 and 52022