What is the Greatest Common Factor of 36344 and 36355?

Greatest common factor (GCF) of 36344 and 36355 is 11.

GCF(36344,36355) = 11

We will now calculate the prime factors of 36344 and 36355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36344 and 36355.

How to find the GCF of 36344 and 36355?

We will first find the prime factorization of 36344 and 36355. After we will calculate the factors of 36344 and 36355 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 36355

Prime factors of 36355 are 5, 11, 661. Prime factorization of 36355 in exponential form is:

36355 = 5¹ × 11¹ × 661¹

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 36355

List of positive integer factors of 36355 that divides 36344 without a remainder.

1, 5, 11, 55, 661, 3305, 7271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36344 and 36355. The biggest common factor number is the GCF number.
So the greatest common factor 36344 and 36355 is 11.

Also check out the Least Common Multiple of 36344 and 36355