What is the Greatest Common Factor of 21352 and 21369?

Greatest common factor (GCF) of 21352 and 21369 is 17.

GCF(21352,21369) = 17

We will now calculate the prime factors of 21352 and 21369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21352 and 21369.

How to find the GCF of 21352 and 21369?

We will first find the prime factorization of 21352 and 21369. After we will calculate the factors of 21352 and 21369 and find the biggest common factor number .

Step-1: Prime Factorization of 21352

Prime factors of 21352 are 2, 17, 157. Prime factorization of 21352 in exponential form is:

21352 = 2³ × 17¹ × 157¹

Step-2: Prime Factorization of 21369

Prime factors of 21369 are 3, 17, 419. Prime factorization of 21369 in exponential form is:

21369 = 3¹ × 17¹ × 419¹

Step-3: Factors of 21352

List of positive integer factors of 21352 that divides 21352 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 157, 314, 628, 1256, 2669, 5338, 10676

Step-4: Factors of 21369

List of positive integer factors of 21369 that divides 21352 without a remainder.

1, 3, 17, 51, 419, 1257, 7123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21352 and 21369. The biggest common factor number is the GCF number.
So the greatest common factor 21352 and 21369 is 17.

Also check out the Least Common Multiple of 21352 and 21369