What is the Greatest Common Factor of 20245 and 20254?

Greatest common factor (GCF) of 20245 and 20254 is 1.

GCF(20245,20254) = 1

We will now calculate the prime factors of 20245 and 20254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20245 and 20254.

How to find the GCF of 20245 and 20254?

We will first find the prime factorization of 20245 and 20254. After we will calculate the factors of 20245 and 20254 and find the biggest common factor number .

Step-1: Prime Factorization of 20245

Prime factors of 20245 are 5, 4049. Prime factorization of 20245 in exponential form is:

20245 = 5¹ × 4049¹

Step-2: Prime Factorization of 20254

Prime factors of 20254 are 2, 13, 19, 41. Prime factorization of 20254 in exponential form is:

20254 = 2¹ × 13¹ × 19¹ × 41¹

Step-3: Factors of 20245

List of positive integer factors of 20245 that divides 20245 without a remainder.

1, 5, 4049

Step-4: Factors of 20254

List of positive integer factors of 20254 that divides 20245 without a remainder.

1, 2, 13, 19, 26, 38, 41, 82, 247, 494, 533, 779, 1066, 1558, 10127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20245 and 20254. The biggest common factor number is the GCF number.
So the greatest common factor 20245 and 20254 is 1.

Also check out the Least Common Multiple of 20245 and 20254