What is the Greatest Common Factor of 20254 and 20273?

Greatest common factor (GCF) of 20254 and 20273 is 19.

GCF(20254,20273) = 19

We will now calculate the prime factors of 20254 and 20273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20254 and 20273.

How to find the GCF of 20254 and 20273?

We will first find the prime factorization of 20254 and 20273. After we will calculate the factors of 20254 and 20273 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20273

Prime factors of 20273 are 11, 19, 97. Prime factorization of 20273 in exponential form is:

20273 = 11¹ × 19¹ × 97¹

Step-3: Factors of 20254

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

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

Step-4: Factors of 20273

List of positive integer factors of 20273 that divides 20254 without a remainder.

1, 11, 19, 97, 209, 1067, 1843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20254 and 20273. The biggest common factor number is the GCF number.
So the greatest common factor 20254 and 20273 is 19.

Also check out the Least Common Multiple of 20254 and 20273