What is the Greatest Common Factor of 36868 and 36884?

Greatest common factor (GCF) of 36868 and 36884 is 4.

GCF(36868,36884) = 4

We will now calculate the prime factors of 36868 and 36884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36868 and 36884.

How to find the GCF of 36868 and 36884?

We will first find the prime factorization of 36868 and 36884. After we will calculate the factors of 36868 and 36884 and find the biggest common factor number .

Step-1: Prime Factorization of 36868

Prime factors of 36868 are 2, 13, 709. Prime factorization of 36868 in exponential form is:

36868 = 2² × 13¹ × 709¹

Step-2: Prime Factorization of 36884

Prime factors of 36884 are 2, 9221. Prime factorization of 36884 in exponential form is:

36884 = 2² × 9221¹

Step-3: Factors of 36868

List of positive integer factors of 36868 that divides 36868 without a remainder.

1, 2, 4, 13, 26, 52, 709, 1418, 2836, 9217, 18434

Step-4: Factors of 36884

List of positive integer factors of 36884 that divides 36868 without a remainder.

1, 2, 4, 9221, 18442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36868 and 36884. The biggest common factor number is the GCF number.
So the greatest common factor 36868 and 36884 is 4.

Also check out the Least Common Multiple of 36868 and 36884