What is the Greatest Common Factor of 73713 and 73725?

Greatest common factor (GCF) of 73713 and 73725 is 3.

GCF(73713,73725) = 3

We will now calculate the prime factors of 73713 and 73725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73713 and 73725.

How to find the GCF of 73713 and 73725?

We will first find the prime factorization of 73713 and 73725. After we will calculate the factors of 73713 and 73725 and find the biggest common factor number .

Step-1: Prime Factorization of 73713

Prime factors of 73713 are 3, 24571. Prime factorization of 73713 in exponential form is:

73713 = 3¹ × 24571¹

Step-2: 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-3: Factors of 73713

List of positive integer factors of 73713 that divides 73713 without a remainder.

1, 3, 24571

Step-4: Factors of 73725

List of positive integer factors of 73725 that divides 73713 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73713 and 73725. The biggest common factor number is the GCF number.
So the greatest common factor 73713 and 73725 is 3.

Also check out the Least Common Multiple of 73713 and 73725