What is the Greatest Common Factor of 87275 and 87283?

Greatest common factor (GCF) of 87275 and 87283 is 1.

GCF(87275,87283) = 1

We will now calculate the prime factors of 87275 and 87283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87275 and 87283.

How to find the GCF of 87275 and 87283?

We will first find the prime factorization of 87275 and 87283. After we will calculate the factors of 87275 and 87283 and find the biggest common factor number .

Step-1: Prime Factorization of 87275

Prime factors of 87275 are 5, 3491. Prime factorization of 87275 in exponential form is:

87275 = 5² × 3491¹

Step-2: Prime Factorization of 87283

Prime factors of 87283 are 7, 37, 337. Prime factorization of 87283 in exponential form is:

87283 = 7¹ × 37¹ × 337¹

Step-3: Factors of 87275

List of positive integer factors of 87275 that divides 87275 without a remainder.

1, 5, 25, 3491, 17455

Step-4: Factors of 87283

List of positive integer factors of 87283 that divides 87275 without a remainder.

1, 7, 37, 259, 337, 2359, 12469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87275 and 87283. The biggest common factor number is the GCF number.
So the greatest common factor 87275 and 87283 is 1.

Also check out the Least Common Multiple of 87275 and 87283