What is the Greatest Common Factor of 77112 and 77132?

Greatest common factor (GCF) of 77112 and 77132 is 4.

GCF(77112,77132) = 4

We will now calculate the prime factors of 77112 and 77132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77112 and 77132.

How to find the GCF of 77112 and 77132?

We will first find the prime factorization of 77112 and 77132. After we will calculate the factors of 77112 and 77132 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 77132

Prime factors of 77132 are 2, 11, 1753. Prime factorization of 77132 in exponential form is:

77132 = 2² × 11¹ × 1753¹

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 77132

List of positive integer factors of 77132 that divides 77112 without a remainder.

1, 2, 4, 11, 22, 44, 1753, 3506, 7012, 19283, 38566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77112 and 77132. The biggest common factor number is the GCF number.
So the greatest common factor 77112 and 77132 is 4.

Also check out the Least Common Multiple of 77112 and 77132