What is the Greatest Common Factor of 73707 and 73725?

Greatest common factor (GCF) of 73707 and 73725 is 3.

GCF(73707,73725) = 3

We will now calculate the prime factors of 73707 and 73725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73707 and 73725.

How to find the GCF of 73707 and 73725?

We will first find the prime factorization of 73707 and 73725. After we will calculate the factors of 73707 and 73725 and find the biggest common factor number .

Step-1: Prime Factorization of 73707

Prime factors of 73707 are 3, 79, 311. Prime factorization of 73707 in exponential form is:

73707 = 3¹ × 79¹ × 311¹

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 73707

List of positive integer factors of 73707 that divides 73707 without a remainder.

1, 3, 79, 237, 311, 933, 24569

Step-4: Factors of 73725

List of positive integer factors of 73725 that divides 73707 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 73707 and 73725. The biggest common factor number is the GCF number.
So the greatest common factor 73707 and 73725 is 3.

Also check out the Least Common Multiple of 73707 and 73725