What is the Greatest Common Factor of 20460 and 20479?

Greatest common factor (GCF) of 20460 and 20479 is 1.

GCF(20460,20479) = 1

We will now calculate the prime factors of 20460 and 20479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20460 and 20479.

How to find the GCF of 20460 and 20479?

We will first find the prime factorization of 20460 and 20479. After we will calculate the factors of 20460 and 20479 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 20479

Prime factors of 20479 are 20479. Prime factorization of 20479 in exponential form is:

20479 = 20479¹

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 20479

List of positive integer factors of 20479 that divides 20460 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20460 and 20479. The biggest common factor number is the GCF number.
So the greatest common factor 20460 and 20479 is 1.

Also check out the Least Common Multiple of 20460 and 20479