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What is the Greatest Common Factor of 77099 and 77112?

Greatest common factor (GCF) of 77099 and 77112 is 1.

GCF(77099,77112) = 1

We will now calculate the prime factors of 77099 and 77112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77099 and 77112.

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How to find the GCF of 77099 and 77112?

We will first find the prime factorization of 77099 and 77112. After we will calculate the factors of 77099 and 77112 and find the biggest common factor number .

Step-1: Prime Factorization of 77099

Prime factors of 77099 are 11, 43, 163. Prime factorization of 77099 in exponential form is:

77099 = 111 × 431 × 1631

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 77099

List of positive integer factors of 77099 that divides 77099 without a remainder.

1, 11, 43, 163, 473, 1793, 7009

Step-4: Factors of 77112

List of positive integer factors of 77112 that divides 77099 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 77099 and 77112. The biggest common factor number is the GCF number.
So the greatest common factor 77099 and 77112 is 1.

Also check out the Least Common Multiple of 77099 and 77112