What is the Greatest Common Factor of 36708 and 36716?

Greatest common factor (GCF) of 36708 and 36716 is 4.

GCF(36708,36716) = 4

We will now calculate the prime factors of 36708 and 36716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36708 and 36716.

How to find the GCF of 36708 and 36716?

We will first find the prime factorization of 36708 and 36716. After we will calculate the factors of 36708 and 36716 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 36716

Prime factors of 36716 are 2, 67, 137. Prime factorization of 36716 in exponential form is:

36716 = 2² × 67¹ × 137¹

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 36716

List of positive integer factors of 36716 that divides 36708 without a remainder.

1, 2, 4, 67, 134, 137, 268, 274, 548, 9179, 18358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36708 and 36716. The biggest common factor number is the GCF number.
So the greatest common factor 36708 and 36716 is 4.

Also check out the Least Common Multiple of 36708 and 36716