What is the Greatest Common Factor of 6467 and 6474?

Greatest common factor (GCF) of 6467 and 6474 is 1.

GCF(6467,6474) = 1

We will now calculate the prime factors of 6467 and 6474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6467 and 6474.

How to find the GCF of 6467 and 6474?

We will first find the prime factorization of 6467 and 6474. After we will calculate the factors of 6467 and 6474 and find the biggest common factor number .

Step-1: Prime Factorization of 6467

Prime factors of 6467 are 29, 223. Prime factorization of 6467 in exponential form is:

6467 = 29¹ × 223¹

Step-2: Prime Factorization of 6474

Prime factors of 6474 are 2, 3, 13, 83. Prime factorization of 6474 in exponential form is:

6474 = 2¹ × 3¹ × 13¹ × 83¹

Step-3: Factors of 6467

List of positive integer factors of 6467 that divides 6467 without a remainder.

1, 29, 223

Step-4: Factors of 6474

List of positive integer factors of 6474 that divides 6467 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 83, 166, 249, 498, 1079, 2158, 3237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6467 and 6474. The biggest common factor number is the GCF number.
So the greatest common factor 6467 and 6474 is 1.

Also check out the Least Common Multiple of 6467 and 6474