What is the Greatest Common Factor of 20007 and 20014?

Greatest common factor (GCF) of 20007 and 20014 is 1.

GCF(20007,20014) = 1

We will now calculate the prime factors of 20007 and 20014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20007 and 20014.

How to find the GCF of 20007 and 20014?

We will first find the prime factorization of 20007 and 20014. After we will calculate the factors of 20007 and 20014 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 20014

Prime factors of 20014 are 2, 10007. Prime factorization of 20014 in exponential form is:

20014 = 2¹ × 10007¹

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 20014

List of positive integer factors of 20014 that divides 20007 without a remainder.

1, 2, 10007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20007 and 20014. The biggest common factor number is the GCF number.
So the greatest common factor 20007 and 20014 is 1.

Also check out the Least Common Multiple of 20007 and 20014