What is the Greatest Common Factor of 77112 and 77118?

Greatest common factor (GCF) of 77112 and 77118 is 6.

GCF(77112,77118) = 6

We will now calculate the prime factors of 77112 and 77118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77112 and 77118.

How to find the GCF of 77112 and 77118?

We will first find the prime factorization of 77112 and 77118. After we will calculate the factors of 77112 and 77118 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 77118

Prime factors of 77118 are 2, 3, 12853. Prime factorization of 77118 in exponential form is:

77118 = 2¹ × 3¹ × 12853¹

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 77118

List of positive integer factors of 77118 that divides 77112 without a remainder.

1, 2, 3, 6, 12853, 25706, 38559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77112 and 77118. The biggest common factor number is the GCF number.
So the greatest common factor 77112 and 77118 is 6.

Also check out the Least Common Multiple of 77112 and 77118