What is the Greatest Common Factor of 34755 and 34767?

Greatest common factor (GCF) of 34755 and 34767 is 3.

GCF(34755,34767) = 3

We will now calculate the prime factors of 34755 and 34767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34755 and 34767.

How to find the GCF of 34755 and 34767?

We will first find the prime factorization of 34755 and 34767. After we will calculate the factors of 34755 and 34767 and find the biggest common factor number .

Step-1: Prime Factorization of 34755

Prime factors of 34755 are 3, 5, 7, 331. Prime factorization of 34755 in exponential form is:

34755 = 3¹ × 5¹ × 7¹ × 331¹

Step-2: Prime Factorization of 34767

Prime factors of 34767 are 3, 3863. Prime factorization of 34767 in exponential form is:

34767 = 3² × 3863¹

Step-3: Factors of 34755

List of positive integer factors of 34755 that divides 34755 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 331, 993, 1655, 2317, 4965, 6951, 11585

Step-4: Factors of 34767

List of positive integer factors of 34767 that divides 34755 without a remainder.

1, 3, 9, 3863, 11589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34755 and 34767. The biggest common factor number is the GCF number.
So the greatest common factor 34755 and 34767 is 3.

Also check out the Least Common Multiple of 34755 and 34767