What is the Greatest Common Factor of 34770 and 34789?

Greatest common factor (GCF) of 34770 and 34789 is 19.

GCF(34770,34789) = 19

We will now calculate the prime factors of 34770 and 34789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34770 and 34789.

How to find the GCF of 34770 and 34789?

We will first find the prime factorization of 34770 and 34789. After we will calculate the factors of 34770 and 34789 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 34789

Prime factors of 34789 are 19, 1831. Prime factorization of 34789 in exponential form is:

34789 = 19¹ × 1831¹

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 34789

List of positive integer factors of 34789 that divides 34770 without a remainder.

1, 19, 1831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34770 and 34789. The biggest common factor number is the GCF number.
So the greatest common factor 34770 and 34789 is 19.

Also check out the Least Common Multiple of 34770 and 34789