What is the Greatest Common Factor of 77095 and 77112?

Greatest common factor (GCF) of 77095 and 77112 is 17.

GCF(77095,77112) = 17

We will now calculate the prime factors of 77095 and 77112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77095 and 77112.

How to find the GCF of 77095 and 77112?

We will first find the prime factorization of 77095 and 77112. After we will calculate the factors of 77095 and 77112 and find the biggest common factor number .

Step-1: Prime Factorization of 77095

Prime factors of 77095 are 5, 17, 907. Prime factorization of 77095 in exponential form is:

77095 = 5¹ × 17¹ × 907¹

Step-2: 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-3: Factors of 77095

List of positive integer factors of 77095 that divides 77095 without a remainder.

1, 5, 17, 85, 907, 4535, 15419

Step-4: Factors of 77112

List of positive integer factors of 77112 that divides 77095 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77095 and 77112. The biggest common factor number is the GCF number.
So the greatest common factor 77095 and 77112 is 17.

Also check out the Least Common Multiple of 77095 and 77112