What is the Greatest Common Factor of 88352 and 88363?

Greatest common factor (GCF) of 88352 and 88363 is 11.

GCF(88352,88363) = 11

We will now calculate the prime factors of 88352 and 88363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88352 and 88363.

How to find the GCF of 88352 and 88363?

We will first find the prime factorization of 88352 and 88363. After we will calculate the factors of 88352 and 88363 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 88363

Prime factors of 88363 are 11, 29, 277. Prime factorization of 88363 in exponential form is:

88363 = 11¹ × 29¹ × 277¹

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 88363

List of positive integer factors of 88363 that divides 88352 without a remainder.

1, 11, 29, 277, 319, 3047, 8033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88352 and 88363. The biggest common factor number is the GCF number.
So the greatest common factor 88352 and 88363 is 11.

Also check out the Least Common Multiple of 88352 and 88363