What is the Greatest Common Factor of 8434 and 8449?

Greatest common factor (GCF) of 8434 and 8449 is 1.

GCF(8434,8449) = 1

We will now calculate the prime factors of 8434 and 8449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8434 and 8449.

How to find the GCF of 8434 and 8449?

We will first find the prime factorization of 8434 and 8449. After we will calculate the factors of 8434 and 8449 and find the biggest common factor number .

Step-1: Prime Factorization of 8434

Prime factors of 8434 are 2, 4217. Prime factorization of 8434 in exponential form is:

8434 = 2¹ × 4217¹

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 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1, 2, 4217

Step-4: Factors of 8449

List of positive integer factors of 8449 that divides 8434 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8434 and 8449. The biggest common factor number is the GCF number.
So the greatest common factor 8434 and 8449 is 1.

Also check out the Least Common Multiple of 8434 and 8449