What is the Greatest Common Factor of 34776 and 34794?

Greatest common factor (GCF) of 34776 and 34794 is 18.

GCF(34776,34794) = 18

We will now calculate the prime factors of 34776 and 34794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34776 and 34794.

How to find the GCF of 34776 and 34794?

We will first find the prime factorization of 34776 and 34794. After we will calculate the factors of 34776 and 34794 and find the biggest common factor number .

Step-1: Prime Factorization of 34776

Prime factors of 34776 are 2, 3, 7, 23. Prime factorization of 34776 in exponential form is:

34776 = 2³ × 3³ × 7¹ × 23¹

Step-2: Prime Factorization of 34794

Prime factors of 34794 are 2, 3, 1933. Prime factorization of 34794 in exponential form is:

34794 = 2¹ × 3² × 1933¹

Step-3: Factors of 34776

List of positive integer factors of 34776 that divides 34776 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 23, 24, 27, 28, 36, 42, 46, 54, 56, 63, 69, 72, 84, 92, 108, 126, 138, 161, 168, 184, 189, 207, 216, 252, 276, 322, 378, 414, 483, 504, 552, 621, 644, 756, 828, 966, 1242, 1288, 1449, 1512, 1656, 1932, 2484, 2898, 3864, 4347, 4968, 5796, 8694, 11592, 17388

Step-4: Factors of 34794

List of positive integer factors of 34794 that divides 34776 without a remainder.

1, 2, 3, 6, 9, 18, 1933, 3866, 5799, 11598, 17397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34776 and 34794. The biggest common factor number is the GCF number.
So the greatest common factor 34776 and 34794 is 18.

Also check out the Least Common Multiple of 34776 and 34794