What is the Greatest Common Factor of 61815 and 61835?

Greatest common factor (GCF) of 61815 and 61835 is 5.

GCF(61815,61835) = 5

We will now calculate the prime factors of 61815 and 61835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61815 and 61835.

How to find the GCF of 61815 and 61835?

We will first find the prime factorization of 61815 and 61835. After we will calculate the factors of 61815 and 61835 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61835

Prime factors of 61835 are 5, 83, 149. Prime factorization of 61835 in exponential form is:

61835 = 5¹ × 83¹ × 149¹

Step-3: Factors of 61815

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

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

Step-4: Factors of 61835

List of positive integer factors of 61835 that divides 61815 without a remainder.

1, 5, 83, 149, 415, 745, 12367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61815 and 61835. The biggest common factor number is the GCF number.
So the greatest common factor 61815 and 61835 is 5.

Also check out the Least Common Multiple of 61815 and 61835