What is the Greatest Common Factor of 8357 and 8361?

Greatest common factor (GCF) of 8357 and 8361 is 1.

GCF(8357,8361) = 1

We will now calculate the prime factors of 8357 and 8361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8357 and 8361.

How to find the GCF of 8357 and 8361?

We will first find the prime factorization of 8357 and 8361. After we will calculate the factors of 8357 and 8361 and find the biggest common factor number .

Step-1: Prime Factorization of 8357

Prime factors of 8357 are 61, 137. Prime factorization of 8357 in exponential form is:

8357 = 61¹ × 137¹

Step-2: Prime Factorization of 8361

Prime factors of 8361 are 3, 929. Prime factorization of 8361 in exponential form is:

8361 = 3² × 929¹

Step-3: Factors of 8357

List of positive integer factors of 8357 that divides 8357 without a remainder.

1, 61, 137

Step-4: Factors of 8361

List of positive integer factors of 8361 that divides 8357 without a remainder.

1, 3, 9, 929, 2787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8357 and 8361. The biggest common factor number is the GCF number.
So the greatest common factor 8357 and 8361 is 1.

Also check out the Least Common Multiple of 8357 and 8361