What is the Greatest Common Factor of 88335 and 88352?

Greatest common factor (GCF) of 88335 and 88352 is 1.

GCF(88335,88352) = 1

We will now calculate the prime factors of 88335 and 88352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88335 and 88352.

How to find the GCF of 88335 and 88352?

We will first find the prime factorization of 88335 and 88352. After we will calculate the factors of 88335 and 88352 and find the biggest common factor number .

Step-1: Prime Factorization of 88335

Prime factors of 88335 are 3, 5, 13, 151. Prime factorization of 88335 in exponential form is:

88335 = 3² × 5¹ × 13¹ × 151¹

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 88335

List of positive integer factors of 88335 that divides 88335 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 151, 195, 453, 585, 755, 1359, 1963, 2265, 5889, 6795, 9815, 17667, 29445

Step-4: Factors of 88352

List of positive integer factors of 88352 that divides 88335 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 88335 and 88352. The biggest common factor number is the GCF number.
So the greatest common factor 88335 and 88352 is 1.

Also check out the Least Common Multiple of 88335 and 88352