What is the Greatest Common Factor of 8456 and 8471?

Greatest common factor (GCF) of 8456 and 8471 is 1.

GCF(8456,8471) = 1

We will now calculate the prime factors of 8456 and 8471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8456 and 8471.

How to find the GCF of 8456 and 8471?

We will first find the prime factorization of 8456 and 8471. After we will calculate the factors of 8456 and 8471 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 8471

Prime factors of 8471 are 43, 197. Prime factorization of 8471 in exponential form is:

8471 = 43¹ × 197¹

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 8471

List of positive integer factors of 8471 that divides 8456 without a remainder.

1, 43, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8456 and 8471. The biggest common factor number is the GCF number.
So the greatest common factor 8456 and 8471 is 1.

Also check out the Least Common Multiple of 8456 and 8471