What is the Greatest Common Factor of 19643 and 19656?

Greatest common factor (GCF) of 19643 and 19656 is 13.

GCF(19643,19656) = 13

We will now calculate the prime factors of 19643 and 19656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19643 and 19656.

How to find the GCF of 19643 and 19656?

We will first find the prime factorization of 19643 and 19656. After we will calculate the factors of 19643 and 19656 and find the biggest common factor number .

Step-1: Prime Factorization of 19643

Prime factors of 19643 are 13, 1511. Prime factorization of 19643 in exponential form is:

19643 = 13¹ × 1511¹

Step-2: Prime Factorization of 19656

Prime factors of 19656 are 2, 3, 7, 13. Prime factorization of 19656 in exponential form is:

19656 = 2³ × 3³ × 7¹ × 13¹

Step-3: Factors of 19643

List of positive integer factors of 19643 that divides 19643 without a remainder.

1, 13, 1511

Step-4: Factors of 19656

List of positive integer factors of 19656 that divides 19643 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 27, 28, 36, 39, 42, 52, 54, 56, 63, 72, 78, 84, 91, 104, 108, 117, 126, 156, 168, 182, 189, 216, 234, 252, 273, 312, 351, 364, 378, 468, 504, 546, 702, 728, 756, 819, 936, 1092, 1404, 1512, 1638, 2184, 2457, 2808, 3276, 4914, 6552, 9828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19643 and 19656. The biggest common factor number is the GCF number.
So the greatest common factor 19643 and 19656 is 13.

Also check out the Least Common Multiple of 19643 and 19656