What is the Greatest Common Factor of 36751 and 36764?

Greatest common factor (GCF) of 36751 and 36764 is 13.

GCF(36751,36764) = 13

We will now calculate the prime factors of 36751 and 36764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36751 and 36764.

How to find the GCF of 36751 and 36764?

We will first find the prime factorization of 36751 and 36764. After we will calculate the factors of 36751 and 36764 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36764

Prime factors of 36764 are 2, 7, 13, 101. Prime factorization of 36764 in exponential form is:

36764 = 2² × 7¹ × 13¹ × 101¹

Step-3: Factors of 36751

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

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

Step-4: Factors of 36764

List of positive integer factors of 36764 that divides 36751 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 101, 182, 202, 364, 404, 707, 1313, 1414, 2626, 2828, 5252, 9191, 18382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36751 and 36764. The biggest common factor number is the GCF number.
So the greatest common factor 36751 and 36764 is 13.

Also check out the Least Common Multiple of 36751 and 36764