What is the Greatest Common Factor of 20445 and 20460?

Greatest common factor (GCF) of 20445 and 20460 is 15.

GCF(20445,20460) = 15

We will now calculate the prime factors of 20445 and 20460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20445 and 20460.

How to find the GCF of 20445 and 20460?

We will first find the prime factorization of 20445 and 20460. After we will calculate the factors of 20445 and 20460 and find the biggest common factor number .

Step-1: Prime Factorization of 20445

Prime factors of 20445 are 3, 5, 29, 47. Prime factorization of 20445 in exponential form is:

20445 = 3¹ × 5¹ × 29¹ × 47¹

Step-2: 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-3: Factors of 20445

List of positive integer factors of 20445 that divides 20445 without a remainder.

1, 3, 5, 15, 29, 47, 87, 141, 145, 235, 435, 705, 1363, 4089, 6815

Step-4: Factors of 20460

List of positive integer factors of 20460 that divides 20445 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20445 and 20460. The biggest common factor number is the GCF number.
So the greatest common factor 20445 and 20460 is 15.

Also check out the Least Common Multiple of 20445 and 20460