What is the Greatest Common Factor of 3464 and 3469?

Greatest common factor (GCF) of 3464 and 3469 is 1.

GCF(3464,3469) = 1

We will now calculate the prime factors of 3464 and 3469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3464 and 3469.

How to find the GCF of 3464 and 3469?

We will first find the prime factorization of 3464 and 3469. After we will calculate the factors of 3464 and 3469 and find the biggest common factor number .

Step-1: Prime Factorization of 3464

Prime factors of 3464 are 2, 433. Prime factorization of 3464 in exponential form is:

3464 = 2³ × 433¹

Step-2: Prime Factorization of 3469

Prime factors of 3469 are 3469. Prime factorization of 3469 in exponential form is:

3469 = 3469¹

Step-3: Factors of 3464

List of positive integer factors of 3464 that divides 3464 without a remainder.

1, 2, 4, 8, 433, 866, 1732

Step-4: Factors of 3469

List of positive integer factors of 3469 that divides 3464 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3464 and 3469. The biggest common factor number is the GCF number.
So the greatest common factor 3464 and 3469 is 1.

Also check out the Least Common Multiple of 3464 and 3469