What is the Greatest Common Factor of 36738 and 36751?

Greatest common factor (GCF) of 36738 and 36751 is 13.

GCF(36738,36751) = 13

We will now calculate the prime factors of 36738 and 36751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36738 and 36751.

How to find the GCF of 36738 and 36751?

We will first find the prime factorization of 36738 and 36751. After we will calculate the factors of 36738 and 36751 and find the biggest common factor number .

Step-1: Prime Factorization of 36738

Prime factors of 36738 are 2, 3, 13, 157. Prime factorization of 36738 in exponential form is:

36738 = 2¹ × 3² × 13¹ × 157¹

Step-2: Prime Factorization of 36751

Prime factors of 36751 are 11, 13, 257. Prime factorization of 36751 in exponential form is:

36751 = 11¹ × 13¹ × 257¹

Step-3: Factors of 36738

List of positive integer factors of 36738 that divides 36738 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 157, 234, 314, 471, 942, 1413, 2041, 2826, 4082, 6123, 12246, 18369

Step-4: Factors of 36751

List of positive integer factors of 36751 that divides 36738 without a remainder.

1, 11, 13, 143, 257, 2827, 3341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36738 and 36751. The biggest common factor number is the GCF number.
So the greatest common factor 36738 and 36751 is 13.

Also check out the Least Common Multiple of 36738 and 36751