What is the Greatest Common Factor of 36344 and 36359?

Greatest common factor (GCF) of 36344 and 36359 is 1.

GCF(36344,36359) = 1

We will now calculate the prime factors of 36344 and 36359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36344 and 36359.

How to find the GCF of 36344 and 36359?

We will first find the prime factorization of 36344 and 36359. After we will calculate the factors of 36344 and 36359 and find the biggest common factor number .

Step-1: Prime Factorization of 36344

Prime factors of 36344 are 2, 7, 11, 59. Prime factorization of 36344 in exponential form is:

36344 = 2³ × 7¹ × 11¹ × 59¹

Step-2: Prime Factorization of 36359

Prime factors of 36359 are 103, 353. Prime factorization of 36359 in exponential form is:

36359 = 103¹ × 353¹

Step-3: Factors of 36344

List of positive integer factors of 36344 that divides 36344 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 59, 77, 88, 118, 154, 236, 308, 413, 472, 616, 649, 826, 1298, 1652, 2596, 3304, 4543, 5192, 9086, 18172

Step-4: Factors of 36359

List of positive integer factors of 36359 that divides 36344 without a remainder.

1, 103, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36344 and 36359. The biggest common factor number is the GCF number.
So the greatest common factor 36344 and 36359 is 1.

Also check out the Least Common Multiple of 36344 and 36359