What is the Greatest Common Factor of 72709 and 72713?

Greatest common factor (GCF) of 72709 and 72713 is 1.

GCF(72709,72713) = 1

We will now calculate the prime factors of 72709 and 72713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72709 and 72713.

How to find the GCF of 72709 and 72713?

We will first find the prime factorization of 72709 and 72713. After we will calculate the factors of 72709 and 72713 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 72713

Prime factors of 72713 are 19, 43, 89. Prime factorization of 72713 in exponential form is:

72713 = 19¹ × 43¹ × 89¹

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 72713

List of positive integer factors of 72713 that divides 72709 without a remainder.

1, 19, 43, 89, 817, 1691, 3827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72709 and 72713. The biggest common factor number is the GCF number.
So the greatest common factor 72709 and 72713 is 1.

Also check out the Least Common Multiple of 72709 and 72713