What is the Greatest Common Factor of 88824 and 88842?

Greatest common factor (GCF) of 88824 and 88842 is 6.

GCF(88824,88842) = 6

We will now calculate the prime factors of 88824 and 88842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88824 and 88842.

How to find the GCF of 88824 and 88842?

We will first find the prime factorization of 88824 and 88842. After we will calculate the factors of 88824 and 88842 and find the biggest common factor number .

Step-1: Prime Factorization of 88824

Prime factors of 88824 are 2, 3, 3701. Prime factorization of 88824 in exponential form is:

88824 = 2³ × 3¹ × 3701¹

Step-2: Prime Factorization of 88842

Prime factors of 88842 are 2, 3, 13, 17, 67. Prime factorization of 88842 in exponential form is:

88842 = 2¹ × 3¹ × 13¹ × 17¹ × 67¹

Step-3: Factors of 88824

List of positive integer factors of 88824 that divides 88824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3701, 7402, 11103, 14804, 22206, 29608, 44412

Step-4: Factors of 88842

List of positive integer factors of 88842 that divides 88824 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 67, 78, 102, 134, 201, 221, 402, 442, 663, 871, 1139, 1326, 1742, 2278, 2613, 3417, 5226, 6834, 14807, 29614, 44421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88824 and 88842. The biggest common factor number is the GCF number.
So the greatest common factor 88824 and 88842 is 6.

Also check out the Least Common Multiple of 88824 and 88842