What is the Greatest Common Factor of 36892 and 36896?

Greatest common factor (GCF) of 36892 and 36896 is 4.

GCF(36892,36896) = 4

We will now calculate the prime factors of 36892 and 36896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36892 and 36896.

How to find the GCF of 36892 and 36896?

We will first find the prime factorization of 36892 and 36896. After we will calculate the factors of 36892 and 36896 and find the biggest common factor number .

Step-1: Prime Factorization of 36892

Prime factors of 36892 are 2, 23, 401. Prime factorization of 36892 in exponential form is:

36892 = 2² × 23¹ × 401¹

Step-2: Prime Factorization of 36896

Prime factors of 36896 are 2, 1153. Prime factorization of 36896 in exponential form is:

36896 = 2⁵ × 1153¹

Step-3: Factors of 36892

List of positive integer factors of 36892 that divides 36892 without a remainder.

1, 2, 4, 23, 46, 92, 401, 802, 1604, 9223, 18446

Step-4: Factors of 36896

List of positive integer factors of 36896 that divides 36892 without a remainder.

1, 2, 4, 8, 16, 32, 1153, 2306, 4612, 9224, 18448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36892 and 36896. The biggest common factor number is the GCF number.
So the greatest common factor 36892 and 36896 is 4.

Also check out the Least Common Multiple of 36892 and 36896