What is the Greatest Common Factor of 77088 and 77096?

Greatest common factor (GCF) of 77088 and 77096 is 8.

GCF(77088,77096) = 8

We will now calculate the prime factors of 77088 and 77096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77088 and 77096.

How to find the GCF of 77088 and 77096?

We will first find the prime factorization of 77088 and 77096. After we will calculate the factors of 77088 and 77096 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 77096

Prime factors of 77096 are 2, 23, 419. Prime factorization of 77096 in exponential form is:

77096 = 2³ × 23¹ × 419¹

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 77096

List of positive integer factors of 77096 that divides 77088 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 419, 838, 1676, 3352, 9637, 19274, 38548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77088 and 77096. The biggest common factor number is the GCF number.
So the greatest common factor 77088 and 77096 is 8.

Also check out the Least Common Multiple of 77088 and 77096