Greatest Common Factor of 3464 and 3469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3464, 3469 i.e. 1 largest integer by which both the numbers can be divided.

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

GCF(3464,3469) = 1

GCF of 3464 and 3469

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3464 and 3469

GCF of 3464 and 3469 is 1

Prime Factorization of 3464


2 3464
2 1732
2 866
433 433
1

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

3464 = 23×4331

Prime Factorization of 3469


3469 3469
1

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

3469 = 34691

∴ So by taking common prime factors GCF of 3464 and 3469 is 1

Greatest Common Factor of 3464 and 3469 by matching factors method

Factors of 3464

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

1,2,4,8,433,866,1732,3464

Factors of 3469

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

1,3469

Greatest Common Factor

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

Properties of GCF 3464 and 3469

(i) The GCF of 3464 and 3469 is associative

GCF of 3464 and 3469 = GCF of 3469 and 3464

Related Greatest Common Factor of 3464

Related Greatest Common Factor of 3469

Frequently Asked Questions on GCF of 3464 and 3469

1. What is the GCF of 3464 and 3469?

Answer: GCF of 3464 and 3469 is 1.

2. What are the Factors of 3464?

Answer: Factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464. There are 8 integers that are factors of 3464. The greatest factor of 3464 is 3464.

3. What are the Factors of 3469?

Answer: Factors of 3469 are 1, 3469. There are 2 integers that are factors of 3469. The greatest factor of 3469 is 3469.

4. How to Find the GCF of 3464 and 3469?

Answer:

Greatest Common Factor of 3464 and 3469 = 1

Step 1: Find the prime factorization of 3464

3464 = 2 x 2 x 2 x 433

Step 2: Find the prime factorization of 3469

3469 = 3469

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3464 and 3469 is 1