What is the Greatest Common Factor of 36833 and 36852?

Greatest common factor (GCF) of 36833 and 36852 is 1.

GCF(36833,36852) = 1

We will now calculate the prime factors of 36833 and 36852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36833 and 36852.

How to find the GCF of 36833 and 36852?

We will first find the prime factorization of 36833 and 36852. After we will calculate the factors of 36833 and 36852 and find the biggest common factor number .

Step-1: Prime Factorization of 36833

Prime factors of 36833 are 36833. Prime factorization of 36833 in exponential form is:

36833 = 36833¹

Step-2: Prime Factorization of 36852

Prime factors of 36852 are 2, 3, 37, 83. Prime factorization of 36852 in exponential form is:

36852 = 2² × 3¹ × 37¹ × 83¹

Step-3: Factors of 36833

List of positive integer factors of 36833 that divides 36833 without a remainder.

Step-4: Factors of 36852

List of positive integer factors of 36852 that divides 36833 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 83, 111, 148, 166, 222, 249, 332, 444, 498, 996, 3071, 6142, 9213, 12284, 18426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36833 and 36852. The biggest common factor number is the GCF number.
So the greatest common factor 36833 and 36852 is 1.

Also check out the Least Common Multiple of 36833 and 36852