What is the Greatest Common Factor of 88816 and 88828?

Greatest common factor (GCF) of 88816 and 88828 is 4.

GCF(88816,88828) = 4

We will now calculate the prime factors of 88816 and 88828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88816 and 88828.

How to find the GCF of 88816 and 88828?

We will first find the prime factorization of 88816 and 88828. After we will calculate the factors of 88816 and 88828 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 88828

Prime factors of 88828 are 2, 53, 419. Prime factorization of 88828 in exponential form is:

88828 = 2² × 53¹ × 419¹

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 88828

List of positive integer factors of 88828 that divides 88816 without a remainder.

1, 2, 4, 53, 106, 212, 419, 838, 1676, 22207, 44414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88816 and 88828. The biggest common factor number is the GCF number.
So the greatest common factor 88816 and 88828 is 4.

Also check out the Least Common Multiple of 88816 and 88828