What is the Greatest Common Factor of 67290 and 67305?

Greatest common factor (GCF) of 67290 and 67305 is 15.

GCF(67290,67305) = 15

We will now calculate the prime factors of 67290 and 67305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67290 and 67305.

How to find the GCF of 67290 and 67305?

We will first find the prime factorization of 67290 and 67305. After we will calculate the factors of 67290 and 67305 and find the biggest common factor number .

Step-1: Prime Factorization of 67290

Prime factors of 67290 are 2, 3, 5, 2243. Prime factorization of 67290 in exponential form is:

67290 = 2¹ × 3¹ × 5¹ × 2243¹

Step-2: Prime Factorization of 67305

Prime factors of 67305 are 3, 5, 7, 641. Prime factorization of 67305 in exponential form is:

67305 = 3¹ × 5¹ × 7¹ × 641¹

Step-3: Factors of 67290

List of positive integer factors of 67290 that divides 67290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2243, 4486, 6729, 11215, 13458, 22430, 33645

Step-4: Factors of 67305

List of positive integer factors of 67305 that divides 67290 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 641, 1923, 3205, 4487, 9615, 13461, 22435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67290 and 67305. The biggest common factor number is the GCF number.
So the greatest common factor 67290 and 67305 is 15.

Also check out the Least Common Multiple of 67290 and 67305