What is the Greatest Common Factor of 20007 and 20024?

Greatest common factor (GCF) of 20007 and 20024 is 1.

GCF(20007,20024) = 1

We will now calculate the prime factors of 20007 and 20024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20007 and 20024.

How to find the GCF of 20007 and 20024?

We will first find the prime factorization of 20007 and 20024. After we will calculate the factors of 20007 and 20024 and find the biggest common factor number .

Step-1: Prime Factorization of 20007

Prime factors of 20007 are 3, 13, 19. Prime factorization of 20007 in exponential form is:

20007 = 3⁴ × 13¹ × 19¹

Step-2: Prime Factorization of 20024

Prime factors of 20024 are 2, 2503. Prime factorization of 20024 in exponential form is:

20024 = 2³ × 2503¹

Step-3: Factors of 20007

List of positive integer factors of 20007 that divides 20007 without a remainder.

1, 3, 9, 13, 19, 27, 39, 57, 81, 117, 171, 247, 351, 513, 741, 1053, 1539, 2223, 6669

Step-4: Factors of 20024

List of positive integer factors of 20024 that divides 20007 without a remainder.

1, 2, 4, 8, 2503, 5006, 10012

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20007 and 20024. The biggest common factor number is the GCF number.
So the greatest common factor 20007 and 20024 is 1.

Also check out the Least Common Multiple of 20007 and 20024