What is the Greatest Common Factor of 21474 and 21480?

Greatest common factor (GCF) of 21474 and 21480 is 6.

GCF(21474,21480) = 6

We will now calculate the prime factors of 21474 and 21480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21474 and 21480.

How to find the GCF of 21474 and 21480?

We will first find the prime factorization of 21474 and 21480. After we will calculate the factors of 21474 and 21480 and find the biggest common factor number .

Step-1: Prime Factorization of 21474

Prime factors of 21474 are 2, 3, 1193. Prime factorization of 21474 in exponential form is:

21474 = 2¹ × 3² × 1193¹

Step-2: Prime Factorization of 21480

Prime factors of 21480 are 2, 3, 5, 179. Prime factorization of 21480 in exponential form is:

21480 = 2³ × 3¹ × 5¹ × 179¹

Step-3: Factors of 21474

List of positive integer factors of 21474 that divides 21474 without a remainder.

1, 2, 3, 6, 9, 18, 1193, 2386, 3579, 7158, 10737

Step-4: Factors of 21480

List of positive integer factors of 21480 that divides 21474 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 179, 358, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 3580, 4296, 5370, 7160, 10740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21474 and 21480. The biggest common factor number is the GCF number.
So the greatest common factor 21474 and 21480 is 6.

Also check out the Least Common Multiple of 21474 and 21480