What is the Greatest Common Factor of 34788 and 34801?

Greatest common factor (GCF) of 34788 and 34801 is 13.

GCF(34788,34801) = 13

We will now calculate the prime factors of 34788 and 34801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34788 and 34801.

How to find the GCF of 34788 and 34801?

We will first find the prime factorization of 34788 and 34801. After we will calculate the factors of 34788 and 34801 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 34801

Prime factors of 34801 are 13, 2677. Prime factorization of 34801 in exponential form is:

34801 = 13¹ × 2677¹

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 34801

List of positive integer factors of 34801 that divides 34788 without a remainder.

1, 13, 2677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34788 and 34801. The biggest common factor number is the GCF number.
So the greatest common factor 34788 and 34801 is 13.

Also check out the Least Common Multiple of 34788 and 34801