What is the Greatest Common Factor of 21472 and 21490?

Greatest common factor (GCF) of 21472 and 21490 is 2.

GCF(21472,21490) = 2

We will now calculate the prime factors of 21472 and 21490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21472 and 21490.

How to find the GCF of 21472 and 21490?

We will first find the prime factorization of 21472 and 21490. After we will calculate the factors of 21472 and 21490 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 21490

Prime factors of 21490 are 2, 5, 7, 307. Prime factorization of 21490 in exponential form is:

21490 = 2¹ × 5¹ × 7¹ × 307¹

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 21490

List of positive integer factors of 21490 that divides 21472 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 307, 614, 1535, 2149, 3070, 4298, 10745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21472 and 21490. The biggest common factor number is the GCF number.
So the greatest common factor 21472 and 21490 is 2.

Also check out the Least Common Multiple of 21472 and 21490