What is the Greatest Common Factor of 21467 and 21480?

Greatest common factor (GCF) of 21467 and 21480 is 1.

GCF(21467,21480) = 1

We will now calculate the prime factors of 21467 and 21480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21467 and 21480.

How to find the GCF of 21467 and 21480?

We will first find the prime factorization of 21467 and 21480. After we will calculate the factors of 21467 and 21480 and find the biggest common factor number .

Step-1: Prime Factorization of 21467

Prime factors of 21467 are 21467. Prime factorization of 21467 in exponential form is:

21467 = 21467¹

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 21467

List of positive integer factors of 21467 that divides 21467 without a remainder.

Step-4: Factors of 21480

List of positive integer factors of 21480 that divides 21467 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 21467 and 21480. The biggest common factor number is the GCF number.
So the greatest common factor 21467 and 21480 is 1.

Also check out the Least Common Multiple of 21467 and 21480