What is the Greatest Common Factor of 8465 and 8474?

Greatest common factor (GCF) of 8465 and 8474 is 1.

GCF(8465,8474) = 1

We will now calculate the prime factors of 8465 and 8474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8465 and 8474.

How to find the GCF of 8465 and 8474?

We will first find the prime factorization of 8465 and 8474. After we will calculate the factors of 8465 and 8474 and find the biggest common factor number .

Step-1: Prime Factorization of 8465

Prime factors of 8465 are 5, 1693. Prime factorization of 8465 in exponential form is:

8465 = 5¹ × 1693¹

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 8465

List of positive integer factors of 8465 that divides 8465 without a remainder.

1, 5, 1693

Step-4: Factors of 8474

List of positive integer factors of 8474 that divides 8465 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8465 and 8474. The biggest common factor number is the GCF number.
So the greatest common factor 8465 and 8474 is 1.

Also check out the Least Common Multiple of 8465 and 8474