What is the Greatest Common Factor of 87287 and 87307?

Greatest common factor (GCF) of 87287 and 87307 is 1.

GCF(87287,87307) = 1

We will now calculate the prime factors of 87287 and 87307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87287 and 87307.

How to find the GCF of 87287 and 87307?

We will first find the prime factorization of 87287 and 87307. After we will calculate the factors of 87287 and 87307 and find the biggest common factor number .

Step-1: Prime Factorization of 87287

Prime factors of 87287 are 191, 457. Prime factorization of 87287 in exponential form is:

87287 = 191¹ × 457¹

Step-2: Prime Factorization of 87307

Prime factors of 87307 are 11, 7937. Prime factorization of 87307 in exponential form is:

87307 = 11¹ × 7937¹

Step-3: Factors of 87287

List of positive integer factors of 87287 that divides 87287 without a remainder.

1, 191, 457

Step-4: Factors of 87307

List of positive integer factors of 87307 that divides 87287 without a remainder.

1, 11, 7937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87287 and 87307. The biggest common factor number is the GCF number.
So the greatest common factor 87287 and 87307 is 1.

Also check out the Least Common Multiple of 87287 and 87307