What is the Greatest Common Factor of 21472 and 21487?

Greatest common factor (GCF) of 21472 and 21487 is 1.

GCF(21472,21487) = 1

We will now calculate the prime factors of 21472 and 21487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21472 and 21487.

How to find the GCF of 21472 and 21487?

We will first find the prime factorization of 21472 and 21487. After we will calculate the factors of 21472 and 21487 and find the biggest common factor number .

Step-1: Prime Factorization of 21472

Prime factors of 21472 are 2, 11, 61. Prime factorization of 21472 in exponential form is:

21472 = 2⁵ × 11¹ × 61¹

Step-2: Prime Factorization of 21487

Prime factors of 21487 are 21487. Prime factorization of 21487 in exponential form is:

21487 = 21487¹

Step-3: Factors of 21472

List of positive integer factors of 21472 that divides 21472 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 88, 122, 176, 244, 352, 488, 671, 976, 1342, 1952, 2684, 5368, 10736

Step-4: Factors of 21487

List of positive integer factors of 21487 that divides 21472 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21472 and 21487. The biggest common factor number is the GCF number.
So the greatest common factor 21472 and 21487 is 1.

Also check out the Least Common Multiple of 21472 and 21487