What is the Greatest Common Factor of 72714 and 72719?

Greatest common factor (GCF) of 72714 and 72719 is 1.

GCF(72714,72719) = 1

We will now calculate the prime factors of 72714 and 72719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72714 and 72719.

How to find the GCF of 72714 and 72719?

We will first find the prime factorization of 72714 and 72719. After we will calculate the factors of 72714 and 72719 and find the biggest common factor number .

Step-1: Prime Factorization of 72714

Prime factors of 72714 are 2, 3, 12119. Prime factorization of 72714 in exponential form is:

72714 = 2¹ × 3¹ × 12119¹

Step-2: Prime Factorization of 72719

Prime factors of 72719 are 72719. Prime factorization of 72719 in exponential form is:

72719 = 72719¹

Step-3: Factors of 72714

List of positive integer factors of 72714 that divides 72714 without a remainder.

1, 2, 3, 6, 12119, 24238, 36357

Step-4: Factors of 72719

List of positive integer factors of 72719 that divides 72714 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72714 and 72719. The biggest common factor number is the GCF number.
So the greatest common factor 72714 and 72719 is 1.

Also check out the Least Common Multiple of 72714 and 72719