What is the Greatest Common Factor of 8440 and 8449?

Greatest common factor (GCF) of 8440 and 8449 is 1.

GCF(8440,8449) = 1

We will now calculate the prime factors of 8440 and 8449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8440 and 8449.

How to find the GCF of 8440 and 8449?

We will first find the prime factorization of 8440 and 8449. After we will calculate the factors of 8440 and 8449 and find the biggest common factor number .

Step-1: Prime Factorization of 8440

Prime factors of 8440 are 2, 5, 211. Prime factorization of 8440 in exponential form is:

8440 = 2³ × 5¹ × 211¹

Step-2: 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-3: Factors of 8440

List of positive integer factors of 8440 that divides 8440 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 211, 422, 844, 1055, 1688, 2110, 4220

Step-4: Factors of 8449

List of positive integer factors of 8449 that divides 8440 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8440 and 8449. The biggest common factor number is the GCF number.
So the greatest common factor 8440 and 8449 is 1.

Also check out the Least Common Multiple of 8440 and 8449