What is the Greatest Common Factor of 35301 and 35319?

Greatest common factor (GCF) of 35301 and 35319 is 3.

GCF(35301,35319) = 3

We will now calculate the prime factors of 35301 and 35319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35301 and 35319.

How to find the GCF of 35301 and 35319?

We will first find the prime factorization of 35301 and 35319. After we will calculate the factors of 35301 and 35319 and find the biggest common factor number .

Step-1: Prime Factorization of 35301

Prime factors of 35301 are 3, 7, 41. Prime factorization of 35301 in exponential form is:

35301 = 3¹ × 7¹ × 41²

Step-2: Prime Factorization of 35319

Prime factors of 35319 are 3, 61, 193. Prime factorization of 35319 in exponential form is:

35319 = 3¹ × 61¹ × 193¹

Step-3: Factors of 35301

List of positive integer factors of 35301 that divides 35301 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861, 1681, 5043, 11767

Step-4: Factors of 35319

List of positive integer factors of 35319 that divides 35301 without a remainder.

1, 3, 61, 183, 193, 579, 11773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35301 and 35319. The biggest common factor number is the GCF number.
So the greatest common factor 35301 and 35319 is 3.

Also check out the Least Common Multiple of 35301 and 35319