What is the Greatest Common Factor of 34705 and 34716?

Greatest common factor (GCF) of 34705 and 34716 is 11.

GCF(34705,34716) = 11

We will now calculate the prime factors of 34705 and 34716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34705 and 34716.

How to find the GCF of 34705 and 34716?

We will first find the prime factorization of 34705 and 34716. After we will calculate the factors of 34705 and 34716 and find the biggest common factor number .

Step-1: Prime Factorization of 34705

Prime factors of 34705 are 5, 11, 631. Prime factorization of 34705 in exponential form is:

34705 = 5¹ × 11¹ × 631¹

Step-2: Prime Factorization of 34716

Prime factors of 34716 are 2, 3, 11, 263. Prime factorization of 34716 in exponential form is:

34716 = 2² × 3¹ × 11¹ × 263¹

Step-3: Factors of 34705

List of positive integer factors of 34705 that divides 34705 without a remainder.

1, 5, 11, 55, 631, 3155, 6941

Step-4: Factors of 34716

List of positive integer factors of 34716 that divides 34705 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 263, 526, 789, 1052, 1578, 2893, 3156, 5786, 8679, 11572, 17358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34705 and 34716. The biggest common factor number is the GCF number.
So the greatest common factor 34705 and 34716 is 11.

Also check out the Least Common Multiple of 34705 and 34716