What is the Greatest Common Factor of 36948 and 36963?

Greatest common factor (GCF) of 36948 and 36963 is 3.

GCF(36948,36963) = 3

We will now calculate the prime factors of 36948 and 36963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36948 and 36963.

How to find the GCF of 36948 and 36963?

We will first find the prime factorization of 36948 and 36963. After we will calculate the factors of 36948 and 36963 and find the biggest common factor number .

Step-1: Prime Factorization of 36948

Prime factors of 36948 are 2, 3, 3079. Prime factorization of 36948 in exponential form is:

36948 = 2² × 3¹ × 3079¹

Step-2: Prime Factorization of 36963

Prime factors of 36963 are 3, 37. Prime factorization of 36963 in exponential form is:

36963 = 3³ × 37²

Step-3: Factors of 36948

List of positive integer factors of 36948 that divides 36948 without a remainder.

1, 2, 3, 4, 6, 12, 3079, 6158, 9237, 12316, 18474

Step-4: Factors of 36963

List of positive integer factors of 36963 that divides 36948 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999, 1369, 4107, 12321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36948 and 36963. The biggest common factor number is the GCF number.
So the greatest common factor 36948 and 36963 is 3.

Also check out the Least Common Multiple of 36948 and 36963