What is the Greatest Common Factor of 80802 and 80808?

Greatest common factor (GCF) of 80802 and 80808 is 6.

GCF(80802,80808) = 6

We will now calculate the prime factors of 80802 and 80808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80802 and 80808.

How to find the GCF of 80802 and 80808?

We will first find the prime factorization of 80802 and 80808. After we will calculate the factors of 80802 and 80808 and find the biggest common factor number .

Step-1: Prime Factorization of 80802

Prime factors of 80802 are 2, 3, 67. Prime factorization of 80802 in exponential form is:

80802 = 2¹ × 3² × 67²

Step-2: 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-3: Factors of 80802

List of positive integer factors of 80802 that divides 80802 without a remainder.

1, 2, 3, 6, 9, 18, 67, 134, 201, 402, 603, 1206, 4489, 8978, 13467, 26934, 40401

Step-4: Factors of 80808

List of positive integer factors of 80808 that divides 80802 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80802 and 80808. The biggest common factor number is the GCF number.
So the greatest common factor 80802 and 80808 is 6.

Also check out the Least Common Multiple of 80802 and 80808