What is the Greatest Common Factor of 35305 and 35315?

Greatest common factor (GCF) of 35305 and 35315 is 5.

GCF(35305,35315) = 5

We will now calculate the prime factors of 35305 and 35315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35305 and 35315.

How to find the GCF of 35305 and 35315?

We will first find the prime factorization of 35305 and 35315. After we will calculate the factors of 35305 and 35315 and find the biggest common factor number .

Step-1: Prime Factorization of 35305

Prime factors of 35305 are 5, 23, 307. Prime factorization of 35305 in exponential form is:

35305 = 5¹ × 23¹ × 307¹

Step-2: Prime Factorization of 35315

Prime factors of 35315 are 5, 7, 1009. Prime factorization of 35315 in exponential form is:

35315 = 5¹ × 7¹ × 1009¹

Step-3: Factors of 35305

List of positive integer factors of 35305 that divides 35305 without a remainder.

1, 5, 23, 115, 307, 1535, 7061

Step-4: Factors of 35315

List of positive integer factors of 35315 that divides 35305 without a remainder.

1, 5, 7, 35, 1009, 5045, 7063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35305 and 35315. The biggest common factor number is the GCF number.
So the greatest common factor 35305 and 35315 is 5.

Also check out the Least Common Multiple of 35305 and 35315