What is the Greatest Common Factor of 36869 and 36876?

Greatest common factor (GCF) of 36869 and 36876 is 7.

GCF(36869,36876) = 7

We will now calculate the prime factors of 36869 and 36876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36869 and 36876.

How to find the GCF of 36869 and 36876?

We will first find the prime factorization of 36869 and 36876. After we will calculate the factors of 36869 and 36876 and find the biggest common factor number .

Step-1: Prime Factorization of 36869

Prime factors of 36869 are 7, 23, 229. Prime factorization of 36869 in exponential form is:

36869 = 7¹ × 23¹ × 229¹

Step-2: Prime Factorization of 36876

Prime factors of 36876 are 2, 3, 7, 439. Prime factorization of 36876 in exponential form is:

36876 = 2² × 3¹ × 7¹ × 439¹

Step-3: Factors of 36869

List of positive integer factors of 36869 that divides 36869 without a remainder.

1, 7, 23, 161, 229, 1603, 5267

Step-4: Factors of 36876

List of positive integer factors of 36876 that divides 36869 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 439, 878, 1317, 1756, 2634, 3073, 5268, 6146, 9219, 12292, 18438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36869 and 36876. The biggest common factor number is the GCF number.
So the greatest common factor 36869 and 36876 is 7.

Also check out the Least Common Multiple of 36869 and 36876