What is the Greatest Common Factor of 19776 and 19796?

Greatest common factor (GCF) of 19776 and 19796 is 4.

GCF(19776,19796) = 4

We will now calculate the prime factors of 19776 and 19796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19776 and 19796.

How to find the GCF of 19776 and 19796?

We will first find the prime factorization of 19776 and 19796. After we will calculate the factors of 19776 and 19796 and find the biggest common factor number .

Step-1: Prime Factorization of 19776

Prime factors of 19776 are 2, 3, 103. Prime factorization of 19776 in exponential form is:

19776 = 2⁶ × 3¹ × 103¹

Step-2: Prime Factorization of 19796

Prime factors of 19796 are 2, 7, 101. Prime factorization of 19796 in exponential form is:

19796 = 2² × 7² × 101¹

Step-3: Factors of 19776

List of positive integer factors of 19776 that divides 19776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 103, 192, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 6592, 9888

Step-4: Factors of 19796

List of positive integer factors of 19796 that divides 19776 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 101, 196, 202, 404, 707, 1414, 2828, 4949, 9898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19776 and 19796. The biggest common factor number is the GCF number.
So the greatest common factor 19776 and 19796 is 4.

Also check out the Least Common Multiple of 19776 and 19796