What is the Greatest Common Factor of 20265 and 20269?

Greatest common factor (GCF) of 20265 and 20269 is 1.

GCF(20265,20269) = 1

We will now calculate the prime factors of 20265 and 20269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20265 and 20269.

How to find the GCF of 20265 and 20269?

We will first find the prime factorization of 20265 and 20269. After we will calculate the factors of 20265 and 20269 and find the biggest common factor number .

Step-1: Prime Factorization of 20265

Prime factors of 20265 are 3, 5, 7, 193. Prime factorization of 20265 in exponential form is:

20265 = 3¹ × 5¹ × 7¹ × 193¹

Step-2: Prime Factorization of 20269

Prime factors of 20269 are 20269. Prime factorization of 20269 in exponential form is:

20269 = 20269¹

Step-3: Factors of 20265

List of positive integer factors of 20265 that divides 20265 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 193, 579, 965, 1351, 2895, 4053, 6755

Step-4: Factors of 20269

List of positive integer factors of 20269 that divides 20265 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20265 and 20269. The biggest common factor number is the GCF number.
So the greatest common factor 20265 and 20269 is 1.

Also check out the Least Common Multiple of 20265 and 20269