What is the Greatest Common Factor of 34788 and 34805?

Greatest common factor (GCF) of 34788 and 34805 is 1.

GCF(34788,34805) = 1

We will now calculate the prime factors of 34788 and 34805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34788 and 34805.

How to find the GCF of 34788 and 34805?

We will first find the prime factorization of 34788 and 34805. After we will calculate the factors of 34788 and 34805 and find the biggest common factor number .

Step-1: Prime Factorization of 34788

Prime factors of 34788 are 2, 3, 13, 223. Prime factorization of 34788 in exponential form is:

34788 = 2² × 3¹ × 13¹ × 223¹

Step-2: Prime Factorization of 34805

Prime factors of 34805 are 5, 6961. Prime factorization of 34805 in exponential form is:

34805 = 5¹ × 6961¹

Step-3: Factors of 34788

List of positive integer factors of 34788 that divides 34788 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 223, 446, 669, 892, 1338, 2676, 2899, 5798, 8697, 11596, 17394

Step-4: Factors of 34805

List of positive integer factors of 34805 that divides 34788 without a remainder.

1, 5, 6961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34788 and 34805. The biggest common factor number is the GCF number.
So the greatest common factor 34788 and 34805 is 1.

Also check out the Least Common Multiple of 34788 and 34805