What is the Greatest Common Factor of 19656 and 19674?

Greatest common factor (GCF) of 19656 and 19674 is 18.

GCF(19656,19674) = 18

We will now calculate the prime factors of 19656 and 19674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19656 and 19674.

How to find the GCF of 19656 and 19674?

We will first find the prime factorization of 19656 and 19674. After we will calculate the factors of 19656 and 19674 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19674

Prime factors of 19674 are 2, 3, 1093. Prime factorization of 19674 in exponential form is:

19674 = 2¹ × 3² × 1093¹

Step-3: Factors of 19656

List of positive integer factors of 19656 that divides 19656 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

Step-4: Factors of 19674

List of positive integer factors of 19674 that divides 19656 without a remainder.

1, 2, 3, 6, 9, 18, 1093, 2186, 3279, 6558, 9837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19656 and 19674. The biggest common factor number is the GCF number.
So the greatest common factor 19656 and 19674 is 18.

Also check out the Least Common Multiple of 19656 and 19674