What is the Greatest Common Factor of 36888 and 36906?

Greatest common factor (GCF) of 36888 and 36906 is 6.

GCF(36888,36906) = 6

We will now calculate the prime factors of 36888 and 36906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36888 and 36906.

How to find the GCF of 36888 and 36906?

We will first find the prime factorization of 36888 and 36906. After we will calculate the factors of 36888 and 36906 and find the biggest common factor number .

Step-1: Prime Factorization of 36888

Prime factors of 36888 are 2, 3, 29, 53. Prime factorization of 36888 in exponential form is:

36888 = 2³ × 3¹ × 29¹ × 53¹

Step-2: Prime Factorization of 36906

Prime factors of 36906 are 2, 3, 6151. Prime factorization of 36906 in exponential form is:

36906 = 2¹ × 3¹ × 6151¹

Step-3: Factors of 36888

List of positive integer factors of 36888 that divides 36888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 53, 58, 87, 106, 116, 159, 174, 212, 232, 318, 348, 424, 636, 696, 1272, 1537, 3074, 4611, 6148, 9222, 12296, 18444

Step-4: Factors of 36906

List of positive integer factors of 36906 that divides 36888 without a remainder.

1, 2, 3, 6, 6151, 12302, 18453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36888 and 36906. The biggest common factor number is the GCF number.
So the greatest common factor 36888 and 36906 is 6.

Also check out the Least Common Multiple of 36888 and 36906