What is the Greatest Common Factor of 72708 and 72719?

Greatest common factor (GCF) of 72708 and 72719 is 1.

GCF(72708,72719) = 1

We will now calculate the prime factors of 72708 and 72719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72708 and 72719.

How to find the GCF of 72708 and 72719?

We will first find the prime factorization of 72708 and 72719. After we will calculate the factors of 72708 and 72719 and find the biggest common factor number .

Step-1: Prime Factorization of 72708

Prime factors of 72708 are 2, 3, 73, 83. Prime factorization of 72708 in exponential form is:

72708 = 2² × 3¹ × 73¹ × 83¹

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 72708

List of positive integer factors of 72708 that divides 72708 without a remainder.

1, 2, 3, 4, 6, 12, 73, 83, 146, 166, 219, 249, 292, 332, 438, 498, 876, 996, 6059, 12118, 18177, 24236, 36354

Step-4: Factors of 72719

List of positive integer factors of 72719 that divides 72708 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72708 and 72719. The biggest common factor number is the GCF number.
So the greatest common factor 72708 and 72719 is 1.

Also check out the Least Common Multiple of 72708 and 72719