What is the Greatest Common Factor of 73725 and 73741?

Greatest common factor (GCF) of 73725 and 73741 is 1.

GCF(73725,73741) = 1

We will now calculate the prime factors of 73725 and 73741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73725 and 73741.

How to find the GCF of 73725 and 73741?

We will first find the prime factorization of 73725 and 73741. After we will calculate the factors of 73725 and 73741 and find the biggest common factor number .

Step-1: Prime Factorization of 73725

Prime factors of 73725 are 3, 5, 983. Prime factorization of 73725 in exponential form is:

73725 = 3¹ × 5² × 983¹

Step-2: Prime Factorization of 73741

Prime factors of 73741 are 37, 1993. Prime factorization of 73741 in exponential form is:

73741 = 37¹ × 1993¹

Step-3: Factors of 73725

List of positive integer factors of 73725 that divides 73725 without a remainder.

1, 3, 5, 15, 25, 75, 983, 2949, 4915, 14745, 24575

Step-4: Factors of 73741

List of positive integer factors of 73741 that divides 73725 without a remainder.

1, 37, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73725 and 73741. The biggest common factor number is the GCF number.
So the greatest common factor 73725 and 73741 is 1.

Also check out the Least Common Multiple of 73725 and 73741