What is the Greatest Common Factor of 72709 and 72726?

Greatest common factor (GCF) of 72709 and 72726 is 17.

GCF(72709,72726) = 17

We will now calculate the prime factors of 72709 and 72726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72709 and 72726.

How to find the GCF of 72709 and 72726?

We will first find the prime factorization of 72709 and 72726. After we will calculate the factors of 72709 and 72726 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 72726

Prime factors of 72726 are 2, 3, 17, 23, 31. Prime factorization of 72726 in exponential form is:

72726 = 2¹ × 3¹ × 17¹ × 23¹ × 31¹

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 72726

List of positive integer factors of 72726 that divides 72709 without a remainder.

1, 2, 3, 6, 17, 23, 31, 34, 46, 51, 62, 69, 93, 102, 138, 186, 391, 527, 713, 782, 1054, 1173, 1426, 1581, 2139, 2346, 3162, 4278, 12121, 24242, 36363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72709 and 72726. The biggest common factor number is the GCF number.
So the greatest common factor 72709 and 72726 is 17.

Also check out the Least Common Multiple of 72709 and 72726