What is the Greatest Common Factor of 80808 and 80823?

Greatest common factor (GCF) of 80808 and 80823 is 3.

GCF(80808,80823) = 3

We will now calculate the prime factors of 80808 and 80823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80808 and 80823.

How to find the GCF of 80808 and 80823?

We will first find the prime factorization of 80808 and 80823. After we will calculate the factors of 80808 and 80823 and find the biggest common factor number .

Step-1: Prime Factorization of 80808

Prime factors of 80808 are 2, 3, 7, 13, 37. Prime factorization of 80808 in exponential form is:

80808 = 2³ × 3¹ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 80823

Prime factors of 80823 are 3, 29, 929. Prime factorization of 80823 in exponential form is:

80823 = 3¹ × 29¹ × 929¹

Step-3: Factors of 80808

List of positive integer factors of 80808 that divides 80808 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 37, 39, 42, 52, 56, 74, 78, 84, 91, 104, 111, 148, 156, 168, 182, 222, 259, 273, 296, 312, 364, 444, 481, 518, 546, 728, 777, 888, 962, 1036, 1092, 1443, 1554, 1924, 2072, 2184, 2886, 3108, 3367, 3848, 5772, 6216, 6734, 10101, 11544, 13468, 20202, 26936, 40404

Step-4: Factors of 80823

List of positive integer factors of 80823 that divides 80808 without a remainder.

1, 3, 29, 87, 929, 2787, 26941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80808 and 80823. The biggest common factor number is the GCF number.
So the greatest common factor 80808 and 80823 is 3.

Also check out the Least Common Multiple of 80808 and 80823