What is the Greatest Common Factor of 61725 and 61734?

Greatest common factor (GCF) of 61725 and 61734 is 3.

GCF(61725,61734) = 3

We will now calculate the prime factors of 61725 and 61734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61725 and 61734.

How to find the GCF of 61725 and 61734?

We will first find the prime factorization of 61725 and 61734. After we will calculate the factors of 61725 and 61734 and find the biggest common factor number .

Step-1: Prime Factorization of 61725

Prime factors of 61725 are 3, 5, 823. Prime factorization of 61725 in exponential form is:

61725 = 3¹ × 5² × 823¹

Step-2: Prime Factorization of 61734

Prime factors of 61734 are 2, 3, 10289. Prime factorization of 61734 in exponential form is:

61734 = 2¹ × 3¹ × 10289¹

Step-3: Factors of 61725

List of positive integer factors of 61725 that divides 61725 without a remainder.

1, 3, 5, 15, 25, 75, 823, 2469, 4115, 12345, 20575

Step-4: Factors of 61734

List of positive integer factors of 61734 that divides 61725 without a remainder.

1, 2, 3, 6, 10289, 20578, 30867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61725 and 61734. The biggest common factor number is the GCF number.
So the greatest common factor 61725 and 61734 is 3.

Also check out the Least Common Multiple of 61725 and 61734