What is the Greatest Common Factor of 88286 and 88297?

Greatest common factor (GCF) of 88286 and 88297 is 11.

GCF(88286,88297) = 11

We will now calculate the prime factors of 88286 and 88297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88286 and 88297.

How to find the GCF of 88286 and 88297?

We will first find the prime factorization of 88286 and 88297. After we will calculate the factors of 88286 and 88297 and find the biggest common factor number .

Step-1: Prime Factorization of 88286

Prime factors of 88286 are 2, 11, 4013. Prime factorization of 88286 in exponential form is:

88286 = 2¹ × 11¹ × 4013¹

Step-2: Prime Factorization of 88297

Prime factors of 88297 are 11, 23, 349. Prime factorization of 88297 in exponential form is:

88297 = 11¹ × 23¹ × 349¹

Step-3: Factors of 88286

List of positive integer factors of 88286 that divides 88286 without a remainder.

1, 2, 11, 22, 4013, 8026, 44143

Step-4: Factors of 88297

List of positive integer factors of 88297 that divides 88286 without a remainder.

1, 11, 23, 253, 349, 3839, 8027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88286 and 88297. The biggest common factor number is the GCF number.
So the greatest common factor 88286 and 88297 is 11.

Also check out the Least Common Multiple of 88286 and 88297