What is the Greatest Common Factor of 36407 and 36424?

Greatest common factor (GCF) of 36407 and 36424 is 1.

GCF(36407,36424) = 1

We will now calculate the prime factors of 36407 and 36424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36407 and 36424.

How to find the GCF of 36407 and 36424?

We will first find the prime factorization of 36407 and 36424. After we will calculate the factors of 36407 and 36424 and find the biggest common factor number .

Step-1: Prime Factorization of 36407

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

36407 = 7² × 743¹

Step-2: Prime Factorization of 36424

Prime factors of 36424 are 2, 29, 157. Prime factorization of 36424 in exponential form is:

36424 = 2³ × 29¹ × 157¹

Step-3: Factors of 36407

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

1, 7, 49, 743, 5201

Step-4: Factors of 36424

List of positive integer factors of 36424 that divides 36407 without a remainder.

1, 2, 4, 8, 29, 58, 116, 157, 232, 314, 628, 1256, 4553, 9106, 18212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36407 and 36424. The biggest common factor number is the GCF number.
So the greatest common factor 36407 and 36424 is 1.

Also check out the Least Common Multiple of 36407 and 36424