What is the Greatest Common Factor of 70593 and 70605?

Greatest common factor (GCF) of 70593 and 70605 is 3.

GCF(70593,70605) = 3

We will now calculate the prime factors of 70593 and 70605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70593 and 70605.

How to find the GCF of 70593 and 70605?

We will first find the prime factorization of 70593 and 70605. After we will calculate the factors of 70593 and 70605 and find the biggest common factor number .

Step-1: Prime Factorization of 70593

Prime factors of 70593 are 3, 23531. Prime factorization of 70593 in exponential form is:

70593 = 3¹ × 23531¹

Step-2: Prime Factorization of 70605

Prime factors of 70605 are 3, 5, 523. Prime factorization of 70605 in exponential form is:

70605 = 3³ × 5¹ × 523¹

Step-3: Factors of 70593

List of positive integer factors of 70593 that divides 70593 without a remainder.

1, 3, 23531

Step-4: Factors of 70605

List of positive integer factors of 70605 that divides 70593 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 523, 1569, 2615, 4707, 7845, 14121, 23535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70593 and 70605. The biggest common factor number is the GCF number.
So the greatest common factor 70593 and 70605 is 3.

Also check out the Least Common Multiple of 70593 and 70605