What is the Greatest Common Factor of 20460 and 20465?

Greatest common factor (GCF) of 20460 and 20465 is 5.

GCF(20460,20465) = 5

We will now calculate the prime factors of 20460 and 20465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20460 and 20465.

How to find the GCF of 20460 and 20465?

We will first find the prime factorization of 20460 and 20465. After we will calculate the factors of 20460 and 20465 and find the biggest common factor number .

Step-1: Prime Factorization of 20460

Prime factors of 20460 are 2, 3, 5, 11, 31. Prime factorization of 20460 in exponential form is:

20460 = 2² × 3¹ × 5¹ × 11¹ × 31¹

Step-2: Prime Factorization of 20465

Prime factors of 20465 are 5, 4093. Prime factorization of 20465 in exponential form is:

20465 = 5¹ × 4093¹

Step-3: Factors of 20460

List of positive integer factors of 20460 that divides 20460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 31, 33, 44, 55, 60, 62, 66, 93, 110, 124, 132, 155, 165, 186, 220, 310, 330, 341, 372, 465, 620, 660, 682, 930, 1023, 1364, 1705, 1860, 2046, 3410, 4092, 5115, 6820, 10230

Step-4: Factors of 20465

List of positive integer factors of 20465 that divides 20460 without a remainder.

1, 5, 4093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20460 and 20465. The biggest common factor number is the GCF number.
So the greatest common factor 20460 and 20465 is 5.

Also check out the Least Common Multiple of 20460 and 20465