What is the Greatest Common Factor of 88829 and 88842?

Greatest common factor (GCF) of 88829 and 88842 is 13.

GCF(88829,88842) = 13

We will now calculate the prime factors of 88829 and 88842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88829 and 88842.

How to find the GCF of 88829 and 88842?

We will first find the prime factorization of 88829 and 88842. After we will calculate the factors of 88829 and 88842 and find the biggest common factor number .

Step-1: Prime Factorization of 88829

Prime factors of 88829 are 13, 6833. Prime factorization of 88829 in exponential form is:

88829 = 13¹ × 6833¹

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 88829

List of positive integer factors of 88829 that divides 88829 without a remainder.

1, 13, 6833

Step-4: Factors of 88842

List of positive integer factors of 88842 that divides 88829 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 88829 and 88842. The biggest common factor number is the GCF number.
So the greatest common factor 88829 and 88842 is 13.

Also check out the Least Common Multiple of 88829 and 88842