What is the Greatest Common Factor of 79893 and 79904?

Greatest common factor (GCF) of 79893 and 79904 is 11.

GCF(79893,79904) = 11

We will now calculate the prime factors of 79893 and 79904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79893 and 79904.

How to find the GCF of 79893 and 79904?

We will first find the prime factorization of 79893 and 79904. After we will calculate the factors of 79893 and 79904 and find the biggest common factor number .

Step-1: Prime Factorization of 79893

Prime factors of 79893 are 3, 11, 269. Prime factorization of 79893 in exponential form is:

79893 = 3³ × 11¹ × 269¹

Step-2: Prime Factorization of 79904

Prime factors of 79904 are 2, 11, 227. Prime factorization of 79904 in exponential form is:

79904 = 2⁵ × 11¹ × 227¹

Step-3: Factors of 79893

List of positive integer factors of 79893 that divides 79893 without a remainder.

1, 3, 9, 11, 27, 33, 99, 269, 297, 807, 2421, 2959, 7263, 8877, 26631

Step-4: Factors of 79904

List of positive integer factors of 79904 that divides 79893 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 227, 352, 454, 908, 1816, 2497, 3632, 4994, 7264, 9988, 19976, 39952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79893 and 79904. The biggest common factor number is the GCF number.
So the greatest common factor 79893 and 79904 is 11.

Also check out the Least Common Multiple of 79893 and 79904