What is the Greatest Common Factor of 88816 and 88829?

Greatest common factor (GCF) of 88816 and 88829 is 13.

GCF(88816,88829) = 13

We will now calculate the prime factors of 88816 and 88829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88816 and 88829.

How to find the GCF of 88816 and 88829?

We will first find the prime factorization of 88816 and 88829. After we will calculate the factors of 88816 and 88829 and find the biggest common factor number .

Step-1: Prime Factorization of 88816

Prime factors of 88816 are 2, 7, 13, 61. Prime factorization of 88816 in exponential form is:

88816 = 2⁴ × 7¹ × 13¹ × 61¹

Step-2: Prime Factorization of 88829

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

88829 = 13¹ × 6833¹

Step-3: Factors of 88816

List of positive integer factors of 88816 that divides 88816 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 61, 91, 104, 112, 122, 182, 208, 244, 364, 427, 488, 728, 793, 854, 976, 1456, 1586, 1708, 3172, 3416, 5551, 6344, 6832, 11102, 12688, 22204, 44408

Step-4: Factors of 88829

List of positive integer factors of 88829 that divides 88816 without a remainder.

1, 13, 6833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88816 and 88829. The biggest common factor number is the GCF number.
So the greatest common factor 88816 and 88829 is 13.

Also check out the Least Common Multiple of 88816 and 88829