What is the Greatest Common Factor of 36395 and 36407?

Greatest common factor (GCF) of 36395 and 36407 is 1.

GCF(36395,36407) = 1

We will now calculate the prime factors of 36395 and 36407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36395 and 36407.

How to find the GCF of 36395 and 36407?

We will first find the prime factorization of 36395 and 36407. After we will calculate the factors of 36395 and 36407 and find the biggest common factor number .

Step-1: Prime Factorization of 36395

Prime factors of 36395 are 5, 29, 251. Prime factorization of 36395 in exponential form is:

36395 = 5¹ × 29¹ × 251¹

Step-2: Prime Factorization of 36407

Prime factors of 36407 are 7, 743. Prime factorization of 36407 in exponential form is:

36407 = 7² × 743¹

Step-3: Factors of 36395

List of positive integer factors of 36395 that divides 36395 without a remainder.

1, 5, 29, 145, 251, 1255, 7279

Step-4: Factors of 36407

List of positive integer factors of 36407 that divides 36395 without a remainder.

1, 7, 49, 743, 5201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36395 and 36407. The biggest common factor number is the GCF number.
So the greatest common factor 36395 and 36407 is 1.

Also check out the Least Common Multiple of 36395 and 36407