What is the Greatest Common Factor of 70305 and 70315?

Greatest common factor (GCF) of 70305 and 70315 is 5.

GCF(70305,70315) = 5

We will now calculate the prime factors of 70305 and 70315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70305 and 70315.

How to find the GCF of 70305 and 70315?

We will first find the prime factorization of 70305 and 70315. After we will calculate the factors of 70305 and 70315 and find the biggest common factor number .

Step-1: Prime Factorization of 70305

Prime factors of 70305 are 3, 5, 43, 109. Prime factorization of 70305 in exponential form is:

70305 = 3¹ × 5¹ × 43¹ × 109¹

Step-2: Prime Factorization of 70315

Prime factors of 70315 are 5, 7, 41. Prime factorization of 70315 in exponential form is:

70315 = 5¹ × 7³ × 41¹

Step-3: Factors of 70305

List of positive integer factors of 70305 that divides 70305 without a remainder.

1, 3, 5, 15, 43, 109, 129, 215, 327, 545, 645, 1635, 4687, 14061, 23435

Step-4: Factors of 70315

List of positive integer factors of 70315 that divides 70305 without a remainder.

1, 5, 7, 35, 41, 49, 205, 245, 287, 343, 1435, 1715, 2009, 10045, 14063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70305 and 70315. The biggest common factor number is the GCF number.
So the greatest common factor 70305 and 70315 is 5.

Also check out the Least Common Multiple of 70305 and 70315