What is the Greatest Common Factor of 21658 and 21667?

Greatest common factor (GCF) of 21658 and 21667 is 1.

GCF(21658,21667) = 1

We will now calculate the prime factors of 21658 and 21667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21658 and 21667.

How to find the GCF of 21658 and 21667?

We will first find the prime factorization of 21658 and 21667. After we will calculate the factors of 21658 and 21667 and find the biggest common factor number .

Step-1: Prime Factorization of 21658

Prime factors of 21658 are 2, 7, 13, 17. Prime factorization of 21658 in exponential form is:

21658 = 2¹ × 7² × 13¹ × 17¹

Step-2: Prime Factorization of 21667

Prime factors of 21667 are 47, 461. Prime factorization of 21667 in exponential form is:

21667 = 47¹ × 461¹

Step-3: Factors of 21658

List of positive integer factors of 21658 that divides 21658 without a remainder.

1, 2, 7, 13, 14, 17, 26, 34, 49, 91, 98, 119, 182, 221, 238, 442, 637, 833, 1274, 1547, 1666, 3094, 10829

Step-4: Factors of 21667

List of positive integer factors of 21667 that divides 21658 without a remainder.

1, 47, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21658 and 21667. The biggest common factor number is the GCF number.
So the greatest common factor 21658 and 21667 is 1.

Also check out the Least Common Multiple of 21658 and 21667