What is the Greatest Common Factor of 61795 and 61815?

Greatest common factor (GCF) of 61795 and 61815 is 5.

GCF(61795,61815) = 5

We will now calculate the prime factors of 61795 and 61815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61795 and 61815.

How to find the GCF of 61795 and 61815?

We will first find the prime factorization of 61795 and 61815. After we will calculate the factors of 61795 and 61815 and find the biggest common factor number .

Step-1: Prime Factorization of 61795

Prime factors of 61795 are 5, 17, 727. Prime factorization of 61795 in exponential form is:

61795 = 5¹ × 17¹ × 727¹

Step-2: Prime Factorization of 61815

Prime factors of 61815 are 3, 5, 13, 317. Prime factorization of 61815 in exponential form is:

61815 = 3¹ × 5¹ × 13¹ × 317¹

Step-3: Factors of 61795

List of positive integer factors of 61795 that divides 61795 without a remainder.

1, 5, 17, 85, 727, 3635, 12359

Step-4: Factors of 61815

List of positive integer factors of 61815 that divides 61795 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 317, 951, 1585, 4121, 4755, 12363, 20605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61795 and 61815. The biggest common factor number is the GCF number.
So the greatest common factor 61795 and 61815 is 5.

Also check out the Least Common Multiple of 61795 and 61815