What is the Greatest Common Factor of 88809 and 88816?

Greatest common factor (GCF) of 88809 and 88816 is 7.

GCF(88809,88816) = 7

We will now calculate the prime factors of 88809 and 88816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88809 and 88816.

How to find the GCF of 88809 and 88816?

We will first find the prime factorization of 88809 and 88816. After we will calculate the factors of 88809 and 88816 and find the biggest common factor number .

Step-1: Prime Factorization of 88809

Prime factors of 88809 are 3, 7, 4229. Prime factorization of 88809 in exponential form is:

88809 = 3¹ × 7¹ × 4229¹

Step-2: 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-3: Factors of 88809

List of positive integer factors of 88809 that divides 88809 without a remainder.

1, 3, 7, 21, 4229, 12687, 29603

Step-4: Factors of 88816

List of positive integer factors of 88816 that divides 88809 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88809 and 88816. The biggest common factor number is the GCF number.
So the greatest common factor 88809 and 88816 is 7.

Also check out the Least Common Multiple of 88809 and 88816