What is the Greatest Common Factor of 61350 and 61365?

Greatest common factor (GCF) of 61350 and 61365 is 15.

GCF(61350,61365) = 15

We will now calculate the prime factors of 61350 and 61365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61350 and 61365.

How to find the GCF of 61350 and 61365?

We will first find the prime factorization of 61350 and 61365. After we will calculate the factors of 61350 and 61365 and find the biggest common factor number .

Step-1: Prime Factorization of 61350

Prime factors of 61350 are 2, 3, 5, 409. Prime factorization of 61350 in exponential form is:

61350 = 2¹ × 3¹ × 5² × 409¹

Step-2: 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-3: Factors of 61350

List of positive integer factors of 61350 that divides 61350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 409, 818, 1227, 2045, 2454, 4090, 6135, 10225, 12270, 20450, 30675

Step-4: Factors of 61365

List of positive integer factors of 61365 that divides 61350 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61350 and 61365. The biggest common factor number is the GCF number.
So the greatest common factor 61350 and 61365 is 15.

Also check out the Least Common Multiple of 61350 and 61365