What is the Greatest Common Factor of 21307 and 21320?

Greatest common factor (GCF) of 21307 and 21320 is 13.

GCF(21307,21320) = 13

We will now calculate the prime factors of 21307 and 21320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21307 and 21320.

How to find the GCF of 21307 and 21320?

We will first find the prime factorization of 21307 and 21320. After we will calculate the factors of 21307 and 21320 and find the biggest common factor number .

Step-1: Prime Factorization of 21307

Prime factors of 21307 are 11, 13, 149. Prime factorization of 21307 in exponential form is:

21307 = 11¹ × 13¹ × 149¹

Step-2: Prime Factorization of 21320

Prime factors of 21320 are 2, 5, 13, 41. Prime factorization of 21320 in exponential form is:

21320 = 2³ × 5¹ × 13¹ × 41¹

Step-3: Factors of 21307

List of positive integer factors of 21307 that divides 21307 without a remainder.

1, 11, 13, 143, 149, 1639, 1937

Step-4: Factors of 21320

List of positive integer factors of 21320 that divides 21307 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 41, 52, 65, 82, 104, 130, 164, 205, 260, 328, 410, 520, 533, 820, 1066, 1640, 2132, 2665, 4264, 5330, 10660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21307 and 21320. The biggest common factor number is the GCF number.
So the greatest common factor 21307 and 21320 is 13.

Also check out the Least Common Multiple of 21307 and 21320