What is the Greatest Common Factor of 20460 and 20478?

Greatest common factor (GCF) of 20460 and 20478 is 6.

GCF(20460,20478) = 6

We will now calculate the prime factors of 20460 and 20478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20460 and 20478.

How to find the GCF of 20460 and 20478?

We will first find the prime factorization of 20460 and 20478. After we will calculate the factors of 20460 and 20478 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 20478

Prime factors of 20478 are 2, 3, 3413. Prime factorization of 20478 in exponential form is:

20478 = 2¹ × 3¹ × 3413¹

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 20478

List of positive integer factors of 20478 that divides 20460 without a remainder.

1, 2, 3, 6, 3413, 6826, 10239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20460 and 20478. The biggest common factor number is the GCF number.
So the greatest common factor 20460 and 20478 is 6.

Also check out the Least Common Multiple of 20460 and 20478