What is the Greatest Common Factor of 61815 and 61825?

Greatest common factor (GCF) of 61815 and 61825 is 5.

GCF(61815,61825) = 5

We will now calculate the prime factors of 61815 and 61825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61815 and 61825.

How to find the GCF of 61815 and 61825?

We will first find the prime factorization of 61815 and 61825. After we will calculate the factors of 61815 and 61825 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 61825

Prime factors of 61825 are 5, 2473. Prime factorization of 61825 in exponential form is:

61825 = 5² × 2473¹

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 61825

List of positive integer factors of 61825 that divides 61815 without a remainder.

1, 5, 25, 2473, 12365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61815 and 61825. The biggest common factor number is the GCF number.
So the greatest common factor 61815 and 61825 is 5.

Also check out the Least Common Multiple of 61815 and 61825