What is the Greatest Common Factor of 36771 and 36785?

Greatest common factor (GCF) of 36771 and 36785 is 7.

GCF(36771,36785) = 7

We will now calculate the prime factors of 36771 and 36785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36771 and 36785.

How to find the GCF of 36771 and 36785?

We will first find the prime factorization of 36771 and 36785. After we will calculate the factors of 36771 and 36785 and find the biggest common factor number .

Step-1: Prime Factorization of 36771

Prime factors of 36771 are 3, 7, 17, 103. Prime factorization of 36771 in exponential form is:

36771 = 3¹ × 7¹ × 17¹ × 103¹

Step-2: Prime Factorization of 36785

Prime factors of 36785 are 5, 7, 1051. Prime factorization of 36785 in exponential form is:

36785 = 5¹ × 7¹ × 1051¹

Step-3: Factors of 36771

List of positive integer factors of 36771 that divides 36771 without a remainder.

1, 3, 7, 17, 21, 51, 103, 119, 309, 357, 721, 1751, 2163, 5253, 12257

Step-4: Factors of 36785

List of positive integer factors of 36785 that divides 36771 without a remainder.

1, 5, 7, 35, 1051, 5255, 7357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36771 and 36785. The biggest common factor number is the GCF number.
So the greatest common factor 36771 and 36785 is 7.

Also check out the Least Common Multiple of 36771 and 36785