What is the Greatest Common Factor of 19756 and 19764?

Greatest common factor (GCF) of 19756 and 19764 is 4.

GCF(19756,19764) = 4

We will now calculate the prime factors of 19756 and 19764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19756 and 19764.

How to find the GCF of 19756 and 19764?

We will first find the prime factorization of 19756 and 19764. After we will calculate the factors of 19756 and 19764 and find the biggest common factor number .

Step-1: Prime Factorization of 19756

Prime factors of 19756 are 2, 11, 449. Prime factorization of 19756 in exponential form is:

19756 = 2² × 11¹ × 449¹

Step-2: Prime Factorization of 19764

Prime factors of 19764 are 2, 3, 61. Prime factorization of 19764 in exponential form is:

19764 = 2² × 3⁴ × 61¹

Step-3: Factors of 19756

List of positive integer factors of 19756 that divides 19756 without a remainder.

1, 2, 4, 11, 22, 44, 449, 898, 1796, 4939, 9878

Step-4: Factors of 19764

List of positive integer factors of 19764 that divides 19756 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 61, 81, 108, 122, 162, 183, 244, 324, 366, 549, 732, 1098, 1647, 2196, 3294, 4941, 6588, 9882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19756 and 19764. The biggest common factor number is the GCF number.
So the greatest common factor 19756 and 19764 is 4.

Also check out the Least Common Multiple of 19756 and 19764