What is the Greatest Common Factor of 36872 and 36888?

Greatest common factor (GCF) of 36872 and 36888 is 8.

GCF(36872,36888) = 8

We will now calculate the prime factors of 36872 and 36888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36872 and 36888.

How to find the GCF of 36872 and 36888?

We will first find the prime factorization of 36872 and 36888. After we will calculate the factors of 36872 and 36888 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 36888

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

36888 = 2³ × 3¹ × 29¹ × 53¹

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 36888

List of positive integer factors of 36888 that divides 36872 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36872 and 36888. The biggest common factor number is the GCF number.
So the greatest common factor 36872 and 36888 is 8.

Also check out the Least Common Multiple of 36872 and 36888