What is the Greatest Common Factor of 77088 and 77099?

Greatest common factor (GCF) of 77088 and 77099 is 11.

GCF(77088,77099) = 11

We will now calculate the prime factors of 77088 and 77099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77088 and 77099.

How to find the GCF of 77088 and 77099?

We will first find the prime factorization of 77088 and 77099. After we will calculate the factors of 77088 and 77099 and find the biggest common factor number .

Step-1: Prime Factorization of 77088

Prime factors of 77088 are 2, 3, 11, 73. Prime factorization of 77088 in exponential form is:

77088 = 2⁵ × 3¹ × 11¹ × 73¹

Step-2: Prime Factorization of 77099

Prime factors of 77099 are 11, 43, 163. Prime factorization of 77099 in exponential form is:

77099 = 11¹ × 43¹ × 163¹

Step-3: Factors of 77088

List of positive integer factors of 77088 that divides 77088 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 73, 88, 96, 132, 146, 176, 219, 264, 292, 352, 438, 528, 584, 803, 876, 1056, 1168, 1606, 1752, 2336, 2409, 3212, 3504, 4818, 6424, 7008, 9636, 12848, 19272, 25696, 38544

Step-4: Factors of 77099

List of positive integer factors of 77099 that divides 77088 without a remainder.

1, 11, 43, 163, 473, 1793, 7009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77088 and 77099. The biggest common factor number is the GCF number.
So the greatest common factor 77088 and 77099 is 11.

Also check out the Least Common Multiple of 77088 and 77099