What is the Greatest Common Factor of 8456 and 8467?

Greatest common factor (GCF) of 8456 and 8467 is 1.

GCF(8456,8467) = 1

We will now calculate the prime factors of 8456 and 8467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8456 and 8467.

How to find the GCF of 8456 and 8467?

We will first find the prime factorization of 8456 and 8467. After we will calculate the factors of 8456 and 8467 and find the biggest common factor number .

Step-1: Prime Factorization of 8456

Prime factors of 8456 are 2, 7, 151. Prime factorization of 8456 in exponential form is:

8456 = 2³ × 7¹ × 151¹

Step-2: Prime Factorization of 8467

Prime factors of 8467 are 8467. Prime factorization of 8467 in exponential form is:

8467 = 8467¹

Step-3: Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228

Step-4: Factors of 8467

List of positive integer factors of 8467 that divides 8456 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8456 and 8467. The biggest common factor number is the GCF number.
So the greatest common factor 8456 and 8467 is 1.

Also check out the Least Common Multiple of 8456 and 8467