What is the Greatest Common Factor of 21472 and 21484?

Greatest common factor (GCF) of 21472 and 21484 is 4.

GCF(21472,21484) = 4

We will now calculate the prime factors of 21472 and 21484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21472 and 21484.

How to find the GCF of 21472 and 21484?

We will first find the prime factorization of 21472 and 21484. After we will calculate the factors of 21472 and 21484 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 21484

Prime factors of 21484 are 2, 41, 131. Prime factorization of 21484 in exponential form is:

21484 = 2² × 41¹ × 131¹

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 21484

List of positive integer factors of 21484 that divides 21472 without a remainder.

1, 2, 4, 41, 82, 131, 164, 262, 524, 5371, 10742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21472 and 21484. The biggest common factor number is the GCF number.
So the greatest common factor 21472 and 21484 is 4.

Also check out the Least Common Multiple of 21472 and 21484