What is the Greatest Common Factor of 77112 and 77124?

Greatest common factor (GCF) of 77112 and 77124 is 12.

GCF(77112,77124) = 12

We will now calculate the prime factors of 77112 and 77124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77112 and 77124.

How to find the GCF of 77112 and 77124?

We will first find the prime factorization of 77112 and 77124. After we will calculate the factors of 77112 and 77124 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 77124

Prime factors of 77124 are 2, 3, 6427. Prime factorization of 77124 in exponential form is:

77124 = 2² × 3¹ × 6427¹

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 77124

List of positive integer factors of 77124 that divides 77112 without a remainder.

1, 2, 3, 4, 6, 12, 6427, 12854, 19281, 25708, 38562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77112 and 77124. The biggest common factor number is the GCF number.
So the greatest common factor 77112 and 77124 is 12.

Also check out the Least Common Multiple of 77112 and 77124