What is the Greatest Common Factor of 8449 and 8457?

Greatest common factor (GCF) of 8449 and 8457 is 1.

GCF(8449,8457) = 1

We will now calculate the prime factors of 8449 and 8457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8449 and 8457.

How to find the GCF of 8449 and 8457?

We will first find the prime factorization of 8449 and 8457. After we will calculate the factors of 8449 and 8457 and find the biggest common factor number .

Step-1: Prime Factorization of 8449

Prime factors of 8449 are 7, 17, 71. Prime factorization of 8449 in exponential form is:

8449 = 7¹ × 17¹ × 71¹

Step-2: Prime Factorization of 8457

Prime factors of 8457 are 3, 2819. Prime factorization of 8457 in exponential form is:

8457 = 3¹ × 2819¹

Step-3: Factors of 8449

List of positive integer factors of 8449 that divides 8449 without a remainder.

1, 7, 17, 71, 119, 497, 1207

Step-4: Factors of 8457

List of positive integer factors of 8457 that divides 8449 without a remainder.

1, 3, 2819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8449 and 8457. The biggest common factor number is the GCF number.
So the greatest common factor 8449 and 8457 is 1.

Also check out the Least Common Multiple of 8449 and 8457