What is the Greatest Common Factor of 77088 and 77105?

Greatest common factor (GCF) of 77088 and 77105 is 1.

GCF(77088,77105) = 1

We will now calculate the prime factors of 77088 and 77105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77088 and 77105.

How to find the GCF of 77088 and 77105?

We will first find the prime factorization of 77088 and 77105. After we will calculate the factors of 77088 and 77105 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 77105

Prime factors of 77105 are 5, 7, 2203. Prime factorization of 77105 in exponential form is:

77105 = 5¹ × 7¹ × 2203¹

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 77105

List of positive integer factors of 77105 that divides 77088 without a remainder.

1, 5, 7, 35, 2203, 11015, 15421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77088 and 77105. The biggest common factor number is the GCF number.
So the greatest common factor 77088 and 77105 is 1.

Also check out the Least Common Multiple of 77088 and 77105