What is the Greatest Common Factor of 61365 and 61380?

Greatest common factor (GCF) of 61365 and 61380 is 15.

GCF(61365,61380) = 15

We will now calculate the prime factors of 61365 and 61380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61365 and 61380.

How to find the GCF of 61365 and 61380?

We will first find the prime factorization of 61365 and 61380. After we will calculate the factors of 61365 and 61380 and find the biggest common factor number .

Step-1: Prime Factorization of 61365

Prime factors of 61365 are 3, 5, 4091. Prime factorization of 61365 in exponential form is:

61365 = 3¹ × 5¹ × 4091¹

Step-2: Prime Factorization of 61380

Prime factors of 61380 are 2, 3, 5, 11, 31. Prime factorization of 61380 in exponential form is:

61380 = 2² × 3² × 5¹ × 11¹ × 31¹

Step-3: Factors of 61365

List of positive integer factors of 61365 that divides 61365 without a remainder.

1, 3, 5, 15, 4091, 12273, 20455

Step-4: Factors of 61380

List of positive integer factors of 61380 that divides 61365 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 31, 33, 36, 44, 45, 55, 60, 62, 66, 90, 93, 99, 110, 124, 132, 155, 165, 180, 186, 198, 220, 279, 310, 330, 341, 372, 396, 465, 495, 558, 620, 660, 682, 930, 990, 1023, 1116, 1364, 1395, 1705, 1860, 1980, 2046, 2790, 3069, 3410, 4092, 5115, 5580, 6138, 6820, 10230, 12276, 15345, 20460, 30690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61365 and 61380. The biggest common factor number is the GCF number.
So the greatest common factor 61365 and 61380 is 15.

Also check out the Least Common Multiple of 61365 and 61380