What is the Greatest Common Factor of 61725 and 61741?

Greatest common factor (GCF) of 61725 and 61741 is 1.

GCF(61725,61741) = 1

We will now calculate the prime factors of 61725 and 61741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61725 and 61741.

How to find the GCF of 61725 and 61741?

We will first find the prime factorization of 61725 and 61741. After we will calculate the factors of 61725 and 61741 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 61741

Prime factors of 61741 are 29, 2129. Prime factorization of 61741 in exponential form is:

61741 = 29¹ × 2129¹

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 61741

List of positive integer factors of 61741 that divides 61725 without a remainder.

1, 29, 2129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61725 and 61741. The biggest common factor number is the GCF number.
So the greatest common factor 61725 and 61741 is 1.

Also check out the Least Common Multiple of 61725 and 61741