What is the Greatest Common Factor of 20265 and 20275?

Greatest common factor (GCF) of 20265 and 20275 is 5.

GCF(20265,20275) = 5

We will now calculate the prime factors of 20265 and 20275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20265 and 20275.

How to find the GCF of 20265 and 20275?

We will first find the prime factorization of 20265 and 20275. After we will calculate the factors of 20265 and 20275 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 20275

Prime factors of 20275 are 5, 811. Prime factorization of 20275 in exponential form is:

20275 = 5² × 811¹

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 20275

List of positive integer factors of 20275 that divides 20265 without a remainder.

1, 5, 25, 811, 4055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20265 and 20275. The biggest common factor number is the GCF number.
So the greatest common factor 20265 and 20275 is 5.

Also check out the Least Common Multiple of 20265 and 20275