What is the Greatest Common Factor of 36852 and 36870?

Greatest common factor (GCF) of 36852 and 36870 is 6.

GCF(36852,36870) = 6

We will now calculate the prime factors of 36852 and 36870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36852 and 36870.

How to find the GCF of 36852 and 36870?

We will first find the prime factorization of 36852 and 36870. After we will calculate the factors of 36852 and 36870 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36870

Prime factors of 36870 are 2, 3, 5, 1229. Prime factorization of 36870 in exponential form is:

36870 = 2¹ × 3¹ × 5¹ × 1229¹

Step-3: Factors of 36852

List of positive integer factors of 36852 that divides 36852 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

Step-4: Factors of 36870

List of positive integer factors of 36870 that divides 36852 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1229, 2458, 3687, 6145, 7374, 12290, 18435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36852 and 36870. The biggest common factor number is the GCF number.
So the greatest common factor 36852 and 36870 is 6.

Also check out the Least Common Multiple of 36852 and 36870