What is the Greatest Common Factor of 88302 and 88311?

Greatest common factor (GCF) of 88302 and 88311 is 3.

GCF(88302,88311) = 3

We will now calculate the prime factors of 88302 and 88311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88302 and 88311.

How to find the GCF of 88302 and 88311?

We will first find the prime factorization of 88302 and 88311. After we will calculate the factors of 88302 and 88311 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88311

Prime factors of 88311 are 3, 29437. Prime factorization of 88311 in exponential form is:

88311 = 3¹ × 29437¹

Step-3: Factors of 88302

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

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

Step-4: Factors of 88311

List of positive integer factors of 88311 that divides 88302 without a remainder.

1, 3, 29437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88302 and 88311. The biggest common factor number is the GCF number.
So the greatest common factor 88302 and 88311 is 3.

Also check out the Least Common Multiple of 88302 and 88311