What is the Greatest Common Factor of 34776 and 34788?

Greatest common factor (GCF) of 34776 and 34788 is 12.

GCF(34776,34788) = 12

We will now calculate the prime factors of 34776 and 34788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34776 and 34788.

How to find the GCF of 34776 and 34788?

We will first find the prime factorization of 34776 and 34788. After we will calculate the factors of 34776 and 34788 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 34788

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

34788 = 2² × 3¹ × 13¹ × 223¹

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 34788

List of positive integer factors of 34788 that divides 34776 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34776 and 34788. The biggest common factor number is the GCF number.
So the greatest common factor 34776 and 34788 is 12.

Also check out the Least Common Multiple of 34776 and 34788