What is the Greatest Common Factor of 36840 and 36852?

Greatest common factor (GCF) of 36840 and 36852 is 12.

GCF(36840,36852) = 12

We will now calculate the prime factors of 36840 and 36852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36840 and 36852.

How to find the GCF of 36840 and 36852?

We will first find the prime factorization of 36840 and 36852. After we will calculate the factors of 36840 and 36852 and find the biggest common factor number .

Step-1: Prime Factorization of 36840

Prime factors of 36840 are 2, 3, 5, 307. Prime factorization of 36840 in exponential form is:

36840 = 2³ × 3¹ × 5¹ × 307¹

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 36840

List of positive integer factors of 36840 that divides 36840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 307, 614, 921, 1228, 1535, 1842, 2456, 3070, 3684, 4605, 6140, 7368, 9210, 12280, 18420

Step-4: Factors of 36852

List of positive integer factors of 36852 that divides 36840 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 36840 and 36852. The biggest common factor number is the GCF number.
So the greatest common factor 36840 and 36852 is 12.

Also check out the Least Common Multiple of 36840 and 36852