What is the Greatest Common Factor of 21845 and 21862?

Greatest common factor (GCF) of 21845 and 21862 is 17.

GCF(21845,21862) = 17

We will now calculate the prime factors of 21845 and 21862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21845 and 21862.

How to find the GCF of 21845 and 21862?

We will first find the prime factorization of 21845 and 21862. After we will calculate the factors of 21845 and 21862 and find the biggest common factor number .

Step-1: Prime Factorization of 21845

Prime factors of 21845 are 5, 17, 257. Prime factorization of 21845 in exponential form is:

21845 = 5¹ × 17¹ × 257¹

Step-2: Prime Factorization of 21862

Prime factors of 21862 are 2, 17, 643. Prime factorization of 21862 in exponential form is:

21862 = 2¹ × 17¹ × 643¹

Step-3: Factors of 21845

List of positive integer factors of 21845 that divides 21845 without a remainder.

1, 5, 17, 85, 257, 1285, 4369

Step-4: Factors of 21862

List of positive integer factors of 21862 that divides 21845 without a remainder.

1, 2, 17, 34, 643, 1286, 10931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21845 and 21862. The biggest common factor number is the GCF number.
So the greatest common factor 21845 and 21862 is 17.

Also check out the Least Common Multiple of 21845 and 21862