What is the Greatest Common Factor of 21472 and 21492?

Greatest common factor (GCF) of 21472 and 21492 is 4.

GCF(21472,21492) = 4

We will now calculate the prime factors of 21472 and 21492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21472 and 21492.

How to find the GCF of 21472 and 21492?

We will first find the prime factorization of 21472 and 21492. After we will calculate the factors of 21472 and 21492 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 21492

Prime factors of 21492 are 2, 3, 199. Prime factorization of 21492 in exponential form is:

21492 = 2² × 3³ × 199¹

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 21492

List of positive integer factors of 21492 that divides 21472 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 5373, 7164, 10746

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21472 and 21492. The biggest common factor number is the GCF number.
So the greatest common factor 21472 and 21492 is 4.

Also check out the Least Common Multiple of 21472 and 21492