What is the Greatest Common Factor of 72709 and 72714?

Greatest common factor (GCF) of 72709 and 72714 is 1.

GCF(72709,72714) = 1

We will now calculate the prime factors of 72709 and 72714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72709 and 72714.

How to find the GCF of 72709 and 72714?

We will first find the prime factorization of 72709 and 72714. After we will calculate the factors of 72709 and 72714 and find the biggest common factor number .

Step-1: Prime Factorization of 72709

Prime factors of 72709 are 7, 13, 17, 47. Prime factorization of 72709 in exponential form is:

72709 = 7¹ × 13¹ × 17¹ × 47¹

Step-2: 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-3: Factors of 72709

List of positive integer factors of 72709 that divides 72709 without a remainder.

1, 7, 13, 17, 47, 91, 119, 221, 329, 611, 799, 1547, 4277, 5593, 10387

Step-4: Factors of 72714

List of positive integer factors of 72714 that divides 72709 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72709 and 72714. The biggest common factor number is the GCF number.
So the greatest common factor 72709 and 72714 is 1.

Also check out the Least Common Multiple of 72709 and 72714