What is the Greatest Common Factor of 21359 and 21372?

Greatest common factor (GCF) of 21359 and 21372 is 13.

GCF(21359,21372) = 13

We will now calculate the prime factors of 21359 and 21372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21359 and 21372.

How to find the GCF of 21359 and 21372?

We will first find the prime factorization of 21359 and 21372. After we will calculate the factors of 21359 and 21372 and find the biggest common factor number .

Step-1: Prime Factorization of 21359

Prime factors of 21359 are 13, 31, 53. Prime factorization of 21359 in exponential form is:

21359 = 13¹ × 31¹ × 53¹

Step-2: Prime Factorization of 21372

Prime factors of 21372 are 2, 3, 13, 137. Prime factorization of 21372 in exponential form is:

21372 = 2² × 3¹ × 13¹ × 137¹

Step-3: Factors of 21359

List of positive integer factors of 21359 that divides 21359 without a remainder.

1, 13, 31, 53, 403, 689, 1643

Step-4: Factors of 21372

List of positive integer factors of 21372 that divides 21359 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 137, 156, 274, 411, 548, 822, 1644, 1781, 3562, 5343, 7124, 10686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21359 and 21372. The biggest common factor number is the GCF number.
So the greatest common factor 21359 and 21372 is 13.

Also check out the Least Common Multiple of 21359 and 21372