What is the Greatest Common Factor of 80838 and 80852?

Greatest common factor (GCF) of 80838 and 80852 is 2.

GCF(80838,80852) = 2

We will now calculate the prime factors of 80838 and 80852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80838 and 80852.

How to find the GCF of 80838 and 80852?

We will first find the prime factorization of 80838 and 80852. After we will calculate the factors of 80838 and 80852 and find the biggest common factor number .

Step-1: Prime Factorization of 80838

Prime factors of 80838 are 2, 3, 499. Prime factorization of 80838 in exponential form is:

80838 = 2¹ × 3⁴ × 499¹

Step-2: Prime Factorization of 80852

Prime factors of 80852 are 2, 17, 29, 41. Prime factorization of 80852 in exponential form is:

80852 = 2² × 17¹ × 29¹ × 41¹

Step-3: Factors of 80838

List of positive integer factors of 80838 that divides 80838 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 499, 998, 1497, 2994, 4491, 8982, 13473, 26946, 40419

Step-4: Factors of 80852

List of positive integer factors of 80852 that divides 80838 without a remainder.

1, 2, 4, 17, 29, 34, 41, 58, 68, 82, 116, 164, 493, 697, 986, 1189, 1394, 1972, 2378, 2788, 4756, 20213, 40426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80838 and 80852. The biggest common factor number is the GCF number.
So the greatest common factor 80838 and 80852 is 2.

Also check out the Least Common Multiple of 80838 and 80852