What is the Greatest Common Factor of 72690 and 72705?

Greatest common factor (GCF) of 72690 and 72705 is 15.

GCF(72690,72705) = 15

We will now calculate the prime factors of 72690 and 72705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72690 and 72705.

How to find the GCF of 72690 and 72705?

We will first find the prime factorization of 72690 and 72705. After we will calculate the factors of 72690 and 72705 and find the biggest common factor number .

Step-1: Prime Factorization of 72690

Prime factors of 72690 are 2, 3, 5, 2423. Prime factorization of 72690 in exponential form is:

72690 = 2¹ × 3¹ × 5¹ × 2423¹

Step-2: 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-3: Factors of 72690

List of positive integer factors of 72690 that divides 72690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2423, 4846, 7269, 12115, 14538, 24230, 36345

Step-4: Factors of 72705

List of positive integer factors of 72705 that divides 72690 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72690 and 72705. The biggest common factor number is the GCF number.
So the greatest common factor 72690 and 72705 is 15.

Also check out the Least Common Multiple of 72690 and 72705