What is the Greatest Common Factor of 35305 and 35313?

Greatest common factor (GCF) of 35305 and 35313 is 1.

GCF(35305,35313) = 1

We will now calculate the prime factors of 35305 and 35313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35305 and 35313.

How to find the GCF of 35305 and 35313?

We will first find the prime factorization of 35305 and 35313. After we will calculate the factors of 35305 and 35313 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 35313

Prime factors of 35313 are 3, 79, 149. Prime factorization of 35313 in exponential form is:

35313 = 3¹ × 79¹ × 149¹

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 35313

List of positive integer factors of 35313 that divides 35305 without a remainder.

1, 3, 79, 149, 237, 447, 11771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35305 and 35313. The biggest common factor number is the GCF number.
So the greatest common factor 35305 and 35313 is 1.

Also check out the Least Common Multiple of 35305 and 35313