What is the Greatest Common Factor of 36708 and 36727?

Greatest common factor (GCF) of 36708 and 36727 is 19.

GCF(36708,36727) = 19

We will now calculate the prime factors of 36708 and 36727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36708 and 36727.

How to find the GCF of 36708 and 36727?

We will first find the prime factorization of 36708 and 36727. After we will calculate the factors of 36708 and 36727 and find the biggest common factor number .

Step-1: Prime Factorization of 36708

Prime factors of 36708 are 2, 3, 7, 19, 23. Prime factorization of 36708 in exponential form is:

36708 = 2² × 3¹ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 36727

Prime factors of 36727 are 19, 1933. Prime factorization of 36727 in exponential form is:

36727 = 19¹ × 1933¹

Step-3: Factors of 36708

List of positive integer factors of 36708 that divides 36708 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 23, 28, 38, 42, 46, 57, 69, 76, 84, 92, 114, 133, 138, 161, 228, 266, 276, 322, 399, 437, 483, 532, 644, 798, 874, 966, 1311, 1596, 1748, 1932, 2622, 3059, 5244, 6118, 9177, 12236, 18354

Step-4: Factors of 36727

List of positive integer factors of 36727 that divides 36708 without a remainder.

1, 19, 1933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36708 and 36727. The biggest common factor number is the GCF number.
So the greatest common factor 36708 and 36727 is 19.

Also check out the Least Common Multiple of 36708 and 36727