What is the Greatest Common Factor of 34780 and 34795?

Greatest common factor (GCF) of 34780 and 34795 is 5.

GCF(34780,34795) = 5

We will now calculate the prime factors of 34780 and 34795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34780 and 34795.

How to find the GCF of 34780 and 34795?

We will first find the prime factorization of 34780 and 34795. After we will calculate the factors of 34780 and 34795 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34795

Prime factors of 34795 are 5, 6959. Prime factorization of 34795 in exponential form is:

34795 = 5¹ × 6959¹

Step-3: Factors of 34780

List of positive integer factors of 34780 that divides 34780 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

Step-4: Factors of 34795

List of positive integer factors of 34795 that divides 34780 without a remainder.

1, 5, 6959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34780 and 34795. The biggest common factor number is the GCF number.
So the greatest common factor 34780 and 34795 is 5.

Also check out the Least Common Multiple of 34780 and 34795