What is the Greatest Common Factor of 21630 and 21644?

Greatest common factor (GCF) of 21630 and 21644 is 14.

GCF(21630,21644) = 14

We will now calculate the prime factors of 21630 and 21644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21630 and 21644.

How to find the GCF of 21630 and 21644?

We will first find the prime factorization of 21630 and 21644. After we will calculate the factors of 21630 and 21644 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 21630

List of positive integer factors of 21630 that divides 21630 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

Step-4: Factors of 21644

List of positive integer factors of 21644 that divides 21630 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21630 and 21644. The biggest common factor number is the GCF number.
So the greatest common factor 21630 and 21644 is 14.

Also check out the Least Common Multiple of 21630 and 21644