What is the Greatest Common Factor of 88297 and 88302?

Greatest common factor (GCF) of 88297 and 88302 is 1.

GCF(88297,88302) = 1

We will now calculate the prime factors of 88297 and 88302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88297 and 88302.

How to find the GCF of 88297 and 88302?

We will first find the prime factorization of 88297 and 88302. After we will calculate the factors of 88297 and 88302 and find the biggest common factor number .

Step-1: 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-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 88297

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

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

Step-4: Factors of 88302

List of positive integer factors of 88302 that divides 88297 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88297 and 88302. The biggest common factor number is the GCF number.
So the greatest common factor 88297 and 88302 is 1.

Also check out the Least Common Multiple of 88297 and 88302