What is the Greatest Common Factor of 34770 and 34788?

Greatest common factor (GCF) of 34770 and 34788 is 6.

GCF(34770,34788) = 6

We will now calculate the prime factors of 34770 and 34788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34770 and 34788.

How to find the GCF of 34770 and 34788?

We will first find the prime factorization of 34770 and 34788. After we will calculate the factors of 34770 and 34788 and find the biggest common factor number .

Step-1: Prime Factorization of 34770

Prime factors of 34770 are 2, 3, 5, 19, 61. Prime factorization of 34770 in exponential form is:

34770 = 2¹ × 3¹ × 5¹ × 19¹ × 61¹

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 34770

List of positive integer factors of 34770 that divides 34770 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 61, 95, 114, 122, 183, 190, 285, 305, 366, 570, 610, 915, 1159, 1830, 2318, 3477, 5795, 6954, 11590, 17385

Step-4: Factors of 34788

List of positive integer factors of 34788 that divides 34770 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 34770 and 34788. The biggest common factor number is the GCF number.
So the greatest common factor 34770 and 34788 is 6.

Also check out the Least Common Multiple of 34770 and 34788