What is the Greatest Common Factor of 36424 and 36437?

Greatest common factor (GCF) of 36424 and 36437 is 1.

GCF(36424,36437) = 1

We will now calculate the prime factors of 36424 and 36437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36424 and 36437.

How to find the GCF of 36424 and 36437?

We will first find the prime factorization of 36424 and 36437. After we will calculate the factors of 36424 and 36437 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36437

Prime factors of 36437 are 83, 439. Prime factorization of 36437 in exponential form is:

36437 = 83¹ × 439¹

Step-3: Factors of 36424

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

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

Step-4: Factors of 36437

List of positive integer factors of 36437 that divides 36424 without a remainder.

1, 83, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36424 and 36437. The biggest common factor number is the GCF number.
So the greatest common factor 36424 and 36437 is 1.

Also check out the Least Common Multiple of 36424 and 36437