What is the Greatest Common Factor of 80808 and 80822?

Greatest common factor (GCF) of 80808 and 80822 is 14.

GCF(80808,80822) = 14

We will now calculate the prime factors of 80808 and 80822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80808 and 80822.

How to find the GCF of 80808 and 80822?

We will first find the prime factorization of 80808 and 80822. After we will calculate the factors of 80808 and 80822 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 80822

Prime factors of 80822 are 2, 7, 23, 251. Prime factorization of 80822 in exponential form is:

80822 = 2¹ × 7¹ × 23¹ × 251¹

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 80822

List of positive integer factors of 80822 that divides 80808 without a remainder.

1, 2, 7, 14, 23, 46, 161, 251, 322, 502, 1757, 3514, 5773, 11546, 40411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80808 and 80822. The biggest common factor number is the GCF number.
So the greatest common factor 80808 and 80822 is 14.

Also check out the Least Common Multiple of 80808 and 80822