What is the Greatest Common Factor of 88345 and 88352?

Greatest common factor (GCF) of 88345 and 88352 is 1.

GCF(88345,88352) = 1

We will now calculate the prime factors of 88345 and 88352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88345 and 88352.

How to find the GCF of 88345 and 88352?

We will first find the prime factorization of 88345 and 88352. After we will calculate the factors of 88345 and 88352 and find the biggest common factor number .

Step-1: Prime Factorization of 88345

Prime factors of 88345 are 5, 17669. Prime factorization of 88345 in exponential form is:

88345 = 5¹ × 17669¹

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 88345

List of positive integer factors of 88345 that divides 88345 without a remainder.

1, 5, 17669

Step-4: Factors of 88352

List of positive integer factors of 88352 that divides 88345 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 88345 and 88352. The biggest common factor number is the GCF number.
So the greatest common factor 88345 and 88352 is 1.

Also check out the Least Common Multiple of 88345 and 88352