What is the Greatest Common Factor of 36872 and 36892?

Greatest common factor (GCF) of 36872 and 36892 is 4.

GCF(36872,36892) = 4

We will now calculate the prime factors of 36872 and 36892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36872 and 36892.

How to find the GCF of 36872 and 36892?

We will first find the prime factorization of 36872 and 36892. After we will calculate the factors of 36872 and 36892 and find the biggest common factor number .

Step-1: Prime Factorization of 36872

Prime factors of 36872 are 2, 11, 419. Prime factorization of 36872 in exponential form is:

36872 = 2³ × 11¹ × 419¹

Step-2: 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-3: Factors of 36872

List of positive integer factors of 36872 that divides 36872 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 419, 838, 1676, 3352, 4609, 9218, 18436

Step-4: Factors of 36892

List of positive integer factors of 36892 that divides 36872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36872 and 36892. The biggest common factor number is the GCF number.
So the greatest common factor 36872 and 36892 is 4.

Also check out the Least Common Multiple of 36872 and 36892