What is the Greatest Common Factor of 35296 and 35313?

Greatest common factor (GCF) of 35296 and 35313 is 1.

GCF(35296,35313) = 1

We will now calculate the prime factors of 35296 and 35313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35296 and 35313.

How to find the GCF of 35296 and 35313?

We will first find the prime factorization of 35296 and 35313. After we will calculate the factors of 35296 and 35313 and find the biggest common factor number .

Step-1: Prime Factorization of 35296

Prime factors of 35296 are 2, 1103. Prime factorization of 35296 in exponential form is:

35296 = 2⁵ × 1103¹

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 35296

List of positive integer factors of 35296 that divides 35296 without a remainder.

1, 2, 4, 8, 16, 32, 1103, 2206, 4412, 8824, 17648

Step-4: Factors of 35313

List of positive integer factors of 35313 that divides 35296 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35296 and 35313. The biggest common factor number is the GCF number.
So the greatest common factor 35296 and 35313 is 1.

Also check out the Least Common Multiple of 35296 and 35313