What is the Greatest Common Factor of 77112 and 77128?

Greatest common factor (GCF) of 77112 and 77128 is 8.

GCF(77112,77128) = 8

We will now calculate the prime factors of 77112 and 77128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77112 and 77128.

How to find the GCF of 77112 and 77128?

We will first find the prime factorization of 77112 and 77128. After we will calculate the factors of 77112 and 77128 and find the biggest common factor number .

Step-1: Prime Factorization of 77112

Prime factors of 77112 are 2, 3, 7, 17. Prime factorization of 77112 in exponential form is:

77112 = 2³ × 3⁴ × 7¹ × 17¹

Step-2: Prime Factorization of 77128

Prime factors of 77128 are 2, 31, 311. Prime factorization of 77128 in exponential form is:

77128 = 2³ × 31¹ × 311¹

Step-3: Factors of 77112

List of positive integer factors of 77112 that divides 77112 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 21, 24, 27, 28, 34, 36, 42, 51, 54, 56, 63, 68, 72, 81, 84, 102, 108, 119, 126, 136, 153, 162, 168, 189, 204, 216, 238, 252, 306, 324, 357, 378, 408, 459, 476, 504, 567, 612, 648, 714, 756, 918, 952, 1071, 1134, 1224, 1377, 1428, 1512, 1836, 2142, 2268, 2754, 2856, 3213, 3672, 4284, 4536, 5508, 6426, 8568, 9639, 11016, 12852, 19278, 25704, 38556

Step-4: Factors of 77128

List of positive integer factors of 77128 that divides 77112 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 311, 622, 1244, 2488, 9641, 19282, 38564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77112 and 77128. The biggest common factor number is the GCF number.
So the greatest common factor 77112 and 77128 is 8.

Also check out the Least Common Multiple of 77112 and 77128