What is the Greatest Common Factor of 79776 and 79794?

Greatest common factor (GCF) of 79776 and 79794 is 18.

GCF(79776,79794) = 18

We will now calculate the prime factors of 79776 and 79794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79776 and 79794.

How to find the GCF of 79776 and 79794?

We will first find the prime factorization of 79776 and 79794. After we will calculate the factors of 79776 and 79794 and find the biggest common factor number .

Step-1: Prime Factorization of 79776

Prime factors of 79776 are 2, 3, 277. Prime factorization of 79776 in exponential form is:

79776 = 2⁵ × 3² × 277¹

Step-2: Prime Factorization of 79794

Prime factors of 79794 are 2, 3, 11, 13, 31. Prime factorization of 79794 in exponential form is:

79794 = 2¹ × 3² × 11¹ × 13¹ × 31¹

Step-3: Factors of 79776

List of positive integer factors of 79776 that divides 79776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 277, 288, 554, 831, 1108, 1662, 2216, 2493, 3324, 4432, 4986, 6648, 8864, 9972, 13296, 19944, 26592, 39888

Step-4: Factors of 79794

List of positive integer factors of 79794 that divides 79776 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 31, 33, 39, 62, 66, 78, 93, 99, 117, 143, 186, 198, 234, 279, 286, 341, 403, 429, 558, 682, 806, 858, 1023, 1209, 1287, 2046, 2418, 2574, 3069, 3627, 4433, 6138, 7254, 8866, 13299, 26598, 39897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79776 and 79794. The biggest common factor number is the GCF number.
So the greatest common factor 79776 and 79794 is 18.

Also check out the Least Common Multiple of 79776 and 79794