What is the Greatest Common Factor of 88343 and 88352?

Greatest common factor (GCF) of 88343 and 88352 is 1.

GCF(88343,88352) = 1

We will now calculate the prime factors of 88343 and 88352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88343 and 88352.

How to find the GCF of 88343 and 88352?

We will first find the prime factorization of 88343 and 88352. After we will calculate the factors of 88343 and 88352 and find the biggest common factor number .

Step-1: Prime Factorization of 88343

Prime factors of 88343 are 23, 167. Prime factorization of 88343 in exponential form is:

88343 = 23² × 167¹

Step-2: 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-3: Factors of 88343

List of positive integer factors of 88343 that divides 88343 without a remainder.

1, 23, 167, 529, 3841

Step-4: Factors of 88352

List of positive integer factors of 88352 that divides 88343 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88343 and 88352. The biggest common factor number is the GCF number.
So the greatest common factor 88343 and 88352 is 1.

Also check out the Least Common Multiple of 88343 and 88352