What is the Greatest Common Factor of 34770 and 34780?

Greatest common factor (GCF) of 34770 and 34780 is 10.

GCF(34770,34780) = 10

We will now calculate the prime factors of 34770 and 34780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34770 and 34780.

How to find the GCF of 34770 and 34780?

We will first find the prime factorization of 34770 and 34780. After we will calculate the factors of 34770 and 34780 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 34780

Prime factors of 34780 are 2, 5, 37, 47. Prime factorization of 34780 in exponential form is:

34780 = 2² × 5¹ × 37¹ × 47¹

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 34780

List of positive integer factors of 34780 that divides 34770 without a remainder.

1, 2, 4, 5, 10, 20, 37, 47, 74, 94, 148, 185, 188, 235, 370, 470, 740, 940, 1739, 3478, 6956, 8695, 17390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34770 and 34780. The biggest common factor number is the GCF number.
So the greatest common factor 34770 and 34780 is 10.

Also check out the Least Common Multiple of 34770 and 34780