What is the Greatest Common Factor of 20026 and 20045?

Greatest common factor (GCF) of 20026 and 20045 is 19.

GCF(20026,20045) = 19

We will now calculate the prime factors of 20026 and 20045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20026 and 20045.

How to find the GCF of 20026 and 20045?

We will first find the prime factorization of 20026 and 20045. After we will calculate the factors of 20026 and 20045 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 20045

Prime factors of 20045 are 5, 19, 211. Prime factorization of 20045 in exponential form is:

20045 = 5¹ × 19¹ × 211¹

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 20045

List of positive integer factors of 20045 that divides 20026 without a remainder.

1, 5, 19, 95, 211, 1055, 4009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20026 and 20045. The biggest common factor number is the GCF number.
So the greatest common factor 20026 and 20045 is 19.

Also check out the Least Common Multiple of 20026 and 20045