What is the Greatest Common Factor of 21644 and 21658?

Greatest common factor (GCF) of 21644 and 21658 is 14.

GCF(21644,21658) = 14

We will now calculate the prime factors of 21644 and 21658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21644 and 21658.

How to find the GCF of 21644 and 21658?

We will first find the prime factorization of 21644 and 21658. After we will calculate the factors of 21644 and 21658 and find the biggest common factor number .

Step-1: Prime Factorization of 21644

Prime factors of 21644 are 2, 7, 773. Prime factorization of 21644 in exponential form is:

21644 = 2² × 7¹ × 773¹

Step-2: 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-3: Factors of 21644

List of positive integer factors of 21644 that divides 21644 without a remainder.

1, 2, 4, 7, 14, 28, 773, 1546, 3092, 5411, 10822

Step-4: Factors of 21658

List of positive integer factors of 21658 that divides 21644 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21644 and 21658. The biggest common factor number is the GCF number.
So the greatest common factor 21644 and 21658 is 14.

Also check out the Least Common Multiple of 21644 and 21658