What is the Greatest Common Factor of 21616 and 21630?

Greatest common factor (GCF) of 21616 and 21630 is 14.

GCF(21616,21630) = 14

We will now calculate the prime factors of 21616 and 21630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21616 and 21630.

How to find the GCF of 21616 and 21630?

We will first find the prime factorization of 21616 and 21630. After we will calculate the factors of 21616 and 21630 and find the biggest common factor number .

Step-1: Prime Factorization of 21616

Prime factors of 21616 are 2, 7, 193. Prime factorization of 21616 in exponential form is:

21616 = 2⁴ × 7¹ × 193¹

Step-2: Prime Factorization of 21630

Prime factors of 21630 are 2, 3, 5, 7, 103. Prime factorization of 21630 in exponential form is:

21630 = 2¹ × 3¹ × 5¹ × 7¹ × 103¹

Step-3: Factors of 21616

List of positive integer factors of 21616 that divides 21616 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 193, 386, 772, 1351, 1544, 2702, 3088, 5404, 10808

Step-4: Factors of 21630

List of positive integer factors of 21630 that divides 21616 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 103, 105, 206, 210, 309, 515, 618, 721, 1030, 1442, 1545, 2163, 3090, 3605, 4326, 7210, 10815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21616 and 21630. The biggest common factor number is the GCF number.
So the greatest common factor 21616 and 21630 is 14.

Also check out the Least Common Multiple of 21616 and 21630