What is the Greatest Common Factor of 61845 and 61860?

Greatest common factor (GCF) of 61845 and 61860 is 15.

GCF(61845,61860) = 15

We will now calculate the prime factors of 61845 and 61860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61845 and 61860.

How to find the GCF of 61845 and 61860?

We will first find the prime factorization of 61845 and 61860. After we will calculate the factors of 61845 and 61860 and find the biggest common factor number .

Step-1: Prime Factorization of 61845

Prime factors of 61845 are 3, 5, 7, 19, 31. Prime factorization of 61845 in exponential form is:

61845 = 3¹ × 5¹ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 61860

Prime factors of 61860 are 2, 3, 5, 1031. Prime factorization of 61860 in exponential form is:

61860 = 2² × 3¹ × 5¹ × 1031¹

Step-3: Factors of 61845

List of positive integer factors of 61845 that divides 61845 without a remainder.

1, 3, 5, 7, 15, 19, 21, 31, 35, 57, 93, 95, 105, 133, 155, 217, 285, 399, 465, 589, 651, 665, 1085, 1767, 1995, 2945, 3255, 4123, 8835, 12369, 20615

Step-4: Factors of 61860

List of positive integer factors of 61860 that divides 61845 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1031, 2062, 3093, 4124, 5155, 6186, 10310, 12372, 15465, 20620, 30930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61845 and 61860. The biggest common factor number is the GCF number.
So the greatest common factor 61845 and 61860 is 15.

Also check out the Least Common Multiple of 61845 and 61860