What is the Greatest Common Factor of 20026 and 20043?

Greatest common factor (GCF) of 20026 and 20043 is 17.

GCF(20026,20043) = 17

We will now calculate the prime factors of 20026 and 20043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20026 and 20043.

How to find the GCF of 20026 and 20043?

We will first find the prime factorization of 20026 and 20043. After we will calculate the factors of 20026 and 20043 and find the biggest common factor number .

Step-1: Prime Factorization of 20026

Prime factors of 20026 are 2, 17, 19, 31. Prime factorization of 20026 in exponential form is:

20026 = 2¹ × 17¹ × 19¹ × 31¹

Step-2: Prime Factorization of 20043

Prime factors of 20043 are 3, 17, 131. Prime factorization of 20043 in exponential form is:

20043 = 3² × 17¹ × 131¹

Step-3: Factors of 20026

List of positive integer factors of 20026 that divides 20026 without a remainder.

1, 2, 17, 19, 31, 34, 38, 62, 323, 527, 589, 646, 1054, 1178, 10013

Step-4: Factors of 20043

List of positive integer factors of 20043 that divides 20026 without a remainder.

1, 3, 9, 17, 51, 131, 153, 393, 1179, 2227, 6681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20026 and 20043. The biggest common factor number is the GCF number.
So the greatest common factor 20026 and 20043 is 17.

Also check out the Least Common Multiple of 20026 and 20043