What is the Greatest Common Factor of 36344 and 36351?

Greatest common factor (GCF) of 36344 and 36351 is 7.

GCF(36344,36351) = 7

We will now calculate the prime factors of 36344 and 36351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36344 and 36351.

How to find the GCF of 36344 and 36351?

We will first find the prime factorization of 36344 and 36351. After we will calculate the factors of 36344 and 36351 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 36351

Prime factors of 36351 are 3, 7, 577. Prime factorization of 36351 in exponential form is:

36351 = 3² × 7¹ × 577¹

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 36351

List of positive integer factors of 36351 that divides 36344 without a remainder.

1, 3, 7, 9, 21, 63, 577, 1731, 4039, 5193, 12117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36344 and 36351. The biggest common factor number is the GCF number.
So the greatest common factor 36344 and 36351 is 7.

Also check out the Least Common Multiple of 36344 and 36351