What is the Greatest Common Factor of 35385 and 35395?

Greatest common factor (GCF) of 35385 and 35395 is 5.

GCF(35385,35395) = 5

We will now calculate the prime factors of 35385 and 35395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35385 and 35395.

How to find the GCF of 35385 and 35395?

We will first find the prime factorization of 35385 and 35395. After we will calculate the factors of 35385 and 35395 and find the biggest common factor number .

Step-1: Prime Factorization of 35385

Prime factors of 35385 are 3, 5, 7, 337. Prime factorization of 35385 in exponential form is:

35385 = 3¹ × 5¹ × 7¹ × 337¹

Step-2: Prime Factorization of 35395

Prime factors of 35395 are 5, 7079. Prime factorization of 35395 in exponential form is:

35395 = 5¹ × 7079¹

Step-3: Factors of 35385

List of positive integer factors of 35385 that divides 35385 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 337, 1011, 1685, 2359, 5055, 7077, 11795

Step-4: Factors of 35395

List of positive integer factors of 35395 that divides 35385 without a remainder.

1, 5, 7079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35385 and 35395. The biggest common factor number is the GCF number.
So the greatest common factor 35385 and 35395 is 5.

Also check out the Least Common Multiple of 35385 and 35395