What is the Greatest Common Factor of 36884 and 36902?

Greatest common factor (GCF) of 36884 and 36902 is 2.

GCF(36884,36902) = 2

We will now calculate the prime factors of 36884 and 36902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36884 and 36902.

How to find the GCF of 36884 and 36902?

We will first find the prime factorization of 36884 and 36902. After we will calculate the factors of 36884 and 36902 and find the biggest common factor number .

Step-1: Prime Factorization of 36884

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

36884 = 2² × 9221¹

Step-2: Prime Factorization of 36902

Prime factors of 36902 are 2, 18451. Prime factorization of 36902 in exponential form is:

36902 = 2¹ × 18451¹

Step-3: Factors of 36884

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

1, 2, 4, 9221, 18442

Step-4: Factors of 36902

List of positive integer factors of 36902 that divides 36884 without a remainder.

1, 2, 18451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36884 and 36902. The biggest common factor number is the GCF number.
So the greatest common factor 36884 and 36902 is 2.

Also check out the Least Common Multiple of 36884 and 36902