What is the Greatest Common Factor of 77088 and 77100?

Greatest common factor (GCF) of 77088 and 77100 is 12.

GCF(77088,77100) = 12

We will now calculate the prime factors of 77088 and 77100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77088 and 77100.

How to find the GCF of 77088 and 77100?

We will first find the prime factorization of 77088 and 77100. After we will calculate the factors of 77088 and 77100 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 77100

Prime factors of 77100 are 2, 3, 5, 257. Prime factorization of 77100 in exponential form is:

77100 = 2² × 3¹ × 5² × 257¹

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 77100

List of positive integer factors of 77100 that divides 77088 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 257, 300, 514, 771, 1028, 1285, 1542, 2570, 3084, 3855, 5140, 6425, 7710, 12850, 15420, 19275, 25700, 38550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77088 and 77100. The biggest common factor number is the GCF number.
So the greatest common factor 77088 and 77100 is 12.

Also check out the Least Common Multiple of 77088 and 77100