What is the Greatest Common Factor of 19649 and 19656?

Greatest common factor (GCF) of 19649 and 19656 is 7.

GCF(19649,19656) = 7

We will now calculate the prime factors of 19649 and 19656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19649 and 19656.

How to find the GCF of 19649 and 19656?

We will first find the prime factorization of 19649 and 19656. After we will calculate the factors of 19649 and 19656 and find the biggest common factor number .

Step-1: Prime Factorization of 19649

Prime factors of 19649 are 7, 401. Prime factorization of 19649 in exponential form is:

19649 = 7² × 401¹

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 19649

List of positive integer factors of 19649 that divides 19649 without a remainder.

1, 7, 49, 401, 2807

Step-4: Factors of 19656

List of positive integer factors of 19656 that divides 19649 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 19649 and 19656. The biggest common factor number is the GCF number.
So the greatest common factor 19649 and 19656 is 7.

Also check out the Least Common Multiple of 19649 and 19656