What is the Greatest Common Factor of 35399 and 35413?

Greatest common factor (GCF) of 35399 and 35413 is 7.

GCF(35399,35413) = 7

We will now calculate the prime factors of 35399 and 35413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35399 and 35413.

How to find the GCF of 35399 and 35413?

We will first find the prime factorization of 35399 and 35413. After we will calculate the factors of 35399 and 35413 and find the biggest common factor number .

Step-1: Prime Factorization of 35399

Prime factors of 35399 are 7, 13, 389. Prime factorization of 35399 in exponential form is:

35399 = 7¹ × 13¹ × 389¹

Step-2: Prime Factorization of 35413

Prime factors of 35413 are 7, 5059. Prime factorization of 35413 in exponential form is:

35413 = 7¹ × 5059¹

Step-3: Factors of 35399

List of positive integer factors of 35399 that divides 35399 without a remainder.

1, 7, 13, 91, 389, 2723, 5057

Step-4: Factors of 35413

List of positive integer factors of 35413 that divides 35399 without a remainder.

1, 7, 5059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35399 and 35413. The biggest common factor number is the GCF number.
So the greatest common factor 35399 and 35413 is 7.

Also check out the Least Common Multiple of 35399 and 35413