What is the Greatest Common Factor of 36884 and 36898?

Greatest common factor (GCF) of 36884 and 36898 is 2.

GCF(36884,36898) = 2

We will now calculate the prime factors of 36884 and 36898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36884 and 36898.

How to find the GCF of 36884 and 36898?

We will first find the prime factorization of 36884 and 36898. After we will calculate the factors of 36884 and 36898 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 36898

Prime factors of 36898 are 2, 19, 971. Prime factorization of 36898 in exponential form is:

36898 = 2¹ × 19¹ × 971¹

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 36898

List of positive integer factors of 36898 that divides 36884 without a remainder.

1, 2, 19, 38, 971, 1942, 18449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36884 and 36898. The biggest common factor number is the GCF number.
So the greatest common factor 36884 and 36898 is 2.

Also check out the Least Common Multiple of 36884 and 36898