What is the Greatest Common Factor of 88352 and 88366?

Greatest common factor (GCF) of 88352 and 88366 is 2.

GCF(88352,88366) = 2

We will now calculate the prime factors of 88352 and 88366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88352 and 88366.

How to find the GCF of 88352 and 88366?

We will first find the prime factorization of 88352 and 88366. After we will calculate the factors of 88352 and 88366 and find the biggest common factor number .

Step-1: Prime Factorization of 88352

Prime factors of 88352 are 2, 11, 251. Prime factorization of 88352 in exponential form is:

88352 = 2⁵ × 11¹ × 251¹

Step-2: Prime Factorization of 88366

Prime factors of 88366 are 2, 17, 23, 113. Prime factorization of 88366 in exponential form is:

88366 = 2¹ × 17¹ × 23¹ × 113¹

Step-3: Factors of 88352

List of positive integer factors of 88352 that divides 88352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 251, 352, 502, 1004, 2008, 2761, 4016, 5522, 8032, 11044, 22088, 44176

Step-4: Factors of 88366

List of positive integer factors of 88366 that divides 88352 without a remainder.

1, 2, 17, 23, 34, 46, 113, 226, 391, 782, 1921, 2599, 3842, 5198, 44183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88352 and 88366. The biggest common factor number is the GCF number.
So the greatest common factor 88352 and 88366 is 2.

Also check out the Least Common Multiple of 88352 and 88366