What is the Greatest Common Factor of 72705 and 72717?

Greatest common factor (GCF) of 72705 and 72717 is 3.

GCF(72705,72717) = 3

We will now calculate the prime factors of 72705 and 72717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72705 and 72717.

How to find the GCF of 72705 and 72717?

We will first find the prime factorization of 72705 and 72717. After we will calculate the factors of 72705 and 72717 and find the biggest common factor number .

Step-1: Prime Factorization of 72705

Prime factors of 72705 are 3, 5, 37, 131. Prime factorization of 72705 in exponential form is:

72705 = 3¹ × 5¹ × 37¹ × 131¹

Step-2: Prime Factorization of 72717

Prime factors of 72717 are 3, 24239. Prime factorization of 72717 in exponential form is:

72717 = 3¹ × 24239¹

Step-3: Factors of 72705

List of positive integer factors of 72705 that divides 72705 without a remainder.

1, 3, 5, 15, 37, 111, 131, 185, 393, 555, 655, 1965, 4847, 14541, 24235

Step-4: Factors of 72717

List of positive integer factors of 72717 that divides 72705 without a remainder.

1, 3, 24239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72705 and 72717. The biggest common factor number is the GCF number.
So the greatest common factor 72705 and 72717 is 3.

Also check out the Least Common Multiple of 72705 and 72717