What is the Greatest Common Factor of 34770 and 34779?

Greatest common factor (GCF) of 34770 and 34779 is 3.

GCF(34770,34779) = 3

We will now calculate the prime factors of 34770 and 34779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34770 and 34779.

How to find the GCF of 34770 and 34779?

We will first find the prime factorization of 34770 and 34779. After we will calculate the factors of 34770 and 34779 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 34779

Prime factors of 34779 are 3, 11593. Prime factorization of 34779 in exponential form is:

34779 = 3¹ × 11593¹

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 34779

List of positive integer factors of 34779 that divides 34770 without a remainder.

1, 3, 11593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34770 and 34779. The biggest common factor number is the GCF number.
So the greatest common factor 34770 and 34779 is 3.

Also check out the Least Common Multiple of 34770 and 34779