What is the Greatest Common Factor of 73719 and 73730?

Greatest common factor (GCF) of 73719 and 73730 is 1.

GCF(73719,73730) = 1

We will now calculate the prime factors of 73719 and 73730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73719 and 73730.

How to find the GCF of 73719 and 73730?

We will first find the prime factorization of 73719 and 73730. After we will calculate the factors of 73719 and 73730 and find the biggest common factor number .

Step-1: Prime Factorization of 73719

Prime factors of 73719 are 3, 8191. Prime factorization of 73719 in exponential form is:

73719 = 3² × 8191¹

Step-2: Prime Factorization of 73730

Prime factors of 73730 are 2, 5, 73, 101. Prime factorization of 73730 in exponential form is:

73730 = 2¹ × 5¹ × 73¹ × 101¹

Step-3: Factors of 73719

List of positive integer factors of 73719 that divides 73719 without a remainder.

1, 3, 9, 8191, 24573

Step-4: Factors of 73730

List of positive integer factors of 73730 that divides 73719 without a remainder.

1, 2, 5, 10, 73, 101, 146, 202, 365, 505, 730, 1010, 7373, 14746, 36865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73719 and 73730. The biggest common factor number is the GCF number.
So the greatest common factor 73719 and 73730 is 1.

Also check out the Least Common Multiple of 73719 and 73730