What is the Greatest Common Factor of 8449 and 8462?

Greatest common factor (GCF) of 8449 and 8462 is 1.

GCF(8449,8462) = 1

We will now calculate the prime factors of 8449 and 8462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8449 and 8462.

How to find the GCF of 8449 and 8462?

We will first find the prime factorization of 8449 and 8462. After we will calculate the factors of 8449 and 8462 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 8462

Prime factors of 8462 are 2, 4231. Prime factorization of 8462 in exponential form is:

8462 = 2¹ × 4231¹

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 8462

List of positive integer factors of 8462 that divides 8449 without a remainder.

1, 2, 4231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8449 and 8462. The biggest common factor number is the GCF number.
So the greatest common factor 8449 and 8462 is 1.

Also check out the Least Common Multiple of 8449 and 8462