What is the Greatest Common Factor of 73740 and 73747?

Greatest common factor (GCF) of 73740 and 73747 is 1.

GCF(73740,73747) = 1

We will now calculate the prime factors of 73740 and 73747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73740 and 73747.

How to find the GCF of 73740 and 73747?

We will first find the prime factorization of 73740 and 73747. After we will calculate the factors of 73740 and 73747 and find the biggest common factor number .

Step-1: Prime Factorization of 73740

Prime factors of 73740 are 2, 3, 5, 1229. Prime factorization of 73740 in exponential form is:

73740 = 2² × 3¹ × 5¹ × 1229¹

Step-2: Prime Factorization of 73747

Prime factors of 73747 are 29, 2543. Prime factorization of 73747 in exponential form is:

73747 = 29¹ × 2543¹

Step-3: Factors of 73740

List of positive integer factors of 73740 that divides 73740 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1229, 2458, 3687, 4916, 6145, 7374, 12290, 14748, 18435, 24580, 36870

Step-4: Factors of 73747

List of positive integer factors of 73747 that divides 73740 without a remainder.

1, 29, 2543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73740 and 73747. The biggest common factor number is the GCF number.
So the greatest common factor 73740 and 73747 is 1.

Also check out the Least Common Multiple of 73740 and 73747