What is the Greatest Common Factor of 70305 and 70310?

Greatest common factor (GCF) of 70305 and 70310 is 5.

GCF(70305,70310) = 5

We will now calculate the prime factors of 70305 and 70310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70305 and 70310.

How to find the GCF of 70305 and 70310?

We will first find the prime factorization of 70305 and 70310. After we will calculate the factors of 70305 and 70310 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 70310

Prime factors of 70310 are 2, 5, 79, 89. Prime factorization of 70310 in exponential form is:

70310 = 2¹ × 5¹ × 79¹ × 89¹

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 70310

List of positive integer factors of 70310 that divides 70305 without a remainder.

1, 2, 5, 10, 79, 89, 158, 178, 395, 445, 790, 890, 7031, 14062, 35155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70305 and 70310. The biggest common factor number is the GCF number.
So the greatest common factor 70305 and 70310 is 5.

Also check out the Least Common Multiple of 70305 and 70310