What is the Greatest Common Factor of 88296 and 88302?

Greatest common factor (GCF) of 88296 and 88302 is 6.

GCF(88296,88302) = 6

We will now calculate the prime factors of 88296 and 88302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88296 and 88302.

How to find the GCF of 88296 and 88302?

We will first find the prime factorization of 88296 and 88302. After we will calculate the factors of 88296 and 88302 and find the biggest common factor number .

Step-1: Prime Factorization of 88296

Prime factors of 88296 are 2, 3, 13, 283. Prime factorization of 88296 in exponential form is:

88296 = 2³ × 3¹ × 13¹ × 283¹

Step-2: Prime Factorization of 88302

Prime factors of 88302 are 2, 3, 14717. Prime factorization of 88302 in exponential form is:

88302 = 2¹ × 3¹ × 14717¹

Step-3: Factors of 88296

List of positive integer factors of 88296 that divides 88296 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 283, 312, 566, 849, 1132, 1698, 2264, 3396, 3679, 6792, 7358, 11037, 14716, 22074, 29432, 44148

Step-4: Factors of 88302

List of positive integer factors of 88302 that divides 88296 without a remainder.

1, 2, 3, 6, 14717, 29434, 44151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88296 and 88302. The biggest common factor number is the GCF number.
So the greatest common factor 88296 and 88302 is 6.

Also check out the Least Common Multiple of 88296 and 88302