What is the Greatest Common Factor of 72852 and 72862?

Greatest common factor (GCF) of 72852 and 72862 is 2.

GCF(72852,72862) = 2

We will now calculate the prime factors of 72852 and 72862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72852 and 72862.

How to find the GCF of 72852 and 72862?

We will first find the prime factorization of 72852 and 72862. After we will calculate the factors of 72852 and 72862 and find the biggest common factor number .

Step-1: Prime Factorization of 72852

Prime factors of 72852 are 2, 3, 13, 467. Prime factorization of 72852 in exponential form is:

72852 = 2² × 3¹ × 13¹ × 467¹

Step-2: Prime Factorization of 72862

Prime factors of 72862 are 2, 17, 2143. Prime factorization of 72862 in exponential form is:

72862 = 2¹ × 17¹ × 2143¹

Step-3: Factors of 72852

List of positive integer factors of 72852 that divides 72852 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 467, 934, 1401, 1868, 2802, 5604, 6071, 12142, 18213, 24284, 36426

Step-4: Factors of 72862

List of positive integer factors of 72862 that divides 72852 without a remainder.

1, 2, 17, 34, 2143, 4286, 36431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72852 and 72862. The biggest common factor number is the GCF number.
So the greatest common factor 72852 and 72862 is 2.

Also check out the Least Common Multiple of 72852 and 72862