What is the Greatest Common Factor of 8455 and 8474?

Greatest common factor (GCF) of 8455 and 8474 is 19.

GCF(8455,8474) = 19

We will now calculate the prime factors of 8455 and 8474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8455 and 8474.

How to find the GCF of 8455 and 8474?

We will first find the prime factorization of 8455 and 8474. After we will calculate the factors of 8455 and 8474 and find the biggest common factor number .

Step-1: Prime Factorization of 8455

Prime factors of 8455 are 5, 19, 89. Prime factorization of 8455 in exponential form is:

8455 = 5¹ × 19¹ × 89¹

Step-2: Prime Factorization of 8474

Prime factors of 8474 are 2, 19, 223. Prime factorization of 8474 in exponential form is:

8474 = 2¹ × 19¹ × 223¹

Step-3: Factors of 8455

List of positive integer factors of 8455 that divides 8455 without a remainder.

1, 5, 19, 89, 95, 445, 1691

Step-4: Factors of 8474

List of positive integer factors of 8474 that divides 8455 without a remainder.

1, 2, 19, 38, 223, 446, 4237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8455 and 8474. The biggest common factor number is the GCF number.
So the greatest common factor 8455 and 8474 is 19.

Also check out the Least Common Multiple of 8455 and 8474