What is the Greatest Common Factor of 35295 and 35303?

Greatest common factor (GCF) of 35295 and 35303 is 1.

GCF(35295,35303) = 1

We will now calculate the prime factors of 35295 and 35303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35295 and 35303.

How to find the GCF of 35295 and 35303?

We will first find the prime factorization of 35295 and 35303. After we will calculate the factors of 35295 and 35303 and find the biggest common factor number .

Step-1: Prime Factorization of 35295

Prime factors of 35295 are 3, 5, 13, 181. Prime factorization of 35295 in exponential form is:

35295 = 3¹ × 5¹ × 13¹ × 181¹

Step-2: Prime Factorization of 35303

Prime factors of 35303 are 43, 821. Prime factorization of 35303 in exponential form is:

35303 = 43¹ × 821¹

Step-3: Factors of 35295

List of positive integer factors of 35295 that divides 35295 without a remainder.

1, 3, 5, 13, 15, 39, 65, 181, 195, 543, 905, 2353, 2715, 7059, 11765

Step-4: Factors of 35303

List of positive integer factors of 35303 that divides 35295 without a remainder.

1, 43, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35295 and 35303. The biggest common factor number is the GCF number.
So the greatest common factor 35295 and 35303 is 1.

Also check out the Least Common Multiple of 35295 and 35303