What is the Greatest Common Factor of 34782 and 34799?

Greatest common factor (GCF) of 34782 and 34799 is 17.

GCF(34782,34799) = 17

We will now calculate the prime factors of 34782 and 34799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34782 and 34799.

How to find the GCF of 34782 and 34799?

We will first find the prime factorization of 34782 and 34799. After we will calculate the factors of 34782 and 34799 and find the biggest common factor number .

Step-1: Prime Factorization of 34782

Prime factors of 34782 are 2, 3, 11, 17, 31. Prime factorization of 34782 in exponential form is:

34782 = 2¹ × 3¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 34799

Prime factors of 34799 are 17, 23, 89. Prime factorization of 34799 in exponential form is:

34799 = 17¹ × 23¹ × 89¹

Step-3: Factors of 34782

List of positive integer factors of 34782 that divides 34782 without a remainder.

1, 2, 3, 6, 11, 17, 22, 31, 33, 34, 51, 62, 66, 93, 102, 186, 187, 341, 374, 527, 561, 682, 1023, 1054, 1122, 1581, 2046, 3162, 5797, 11594, 17391

Step-4: Factors of 34799

List of positive integer factors of 34799 that divides 34782 without a remainder.

1, 17, 23, 89, 391, 1513, 2047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34782 and 34799. The biggest common factor number is the GCF number.
So the greatest common factor 34782 and 34799 is 17.

Also check out the Least Common Multiple of 34782 and 34799