What is the Greatest Common Factor of 21472 and 21489?

Greatest common factor (GCF) of 21472 and 21489 is 1.

GCF(21472,21489) = 1

We will now calculate the prime factors of 21472 and 21489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21472 and 21489.

How to find the GCF of 21472 and 21489?

We will first find the prime factorization of 21472 and 21489. After we will calculate the factors of 21472 and 21489 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 21489

Prime factors of 21489 are 3, 13, 19, 29. Prime factorization of 21489 in exponential form is:

21489 = 3¹ × 13¹ × 19¹ × 29¹

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 21489

List of positive integer factors of 21489 that divides 21472 without a remainder.

1, 3, 13, 19, 29, 39, 57, 87, 247, 377, 551, 741, 1131, 1653, 7163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21472 and 21489. The biggest common factor number is the GCF number.
So the greatest common factor 21472 and 21489 is 1.

Also check out the Least Common Multiple of 21472 and 21489