Greatest Common Factor of 3474 and 3477

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 3474, 3477 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3474 and 3477 is 3.

GCF(3474,3477) = 3

GCF of 3474 and 3477

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

GCF of:
and

Greatest Common Factor of 3474 and 3477

GCF of 3474 and 3477 is 3

Prime Factorization of 3474


2 3474
3 1737
3 579
193 193
1

Prime factors of 3474 are 2,3,193. Prime factorization of 3474 in exponential form is:

3474 = 21×32×1931

Prime Factorization of 3477


3 3477
19 1159
61 61
1

Prime factors of 3477 are 3,19,61. Prime factorization of 3477 in exponential form is:

3477 = 31×191×611

∴ So by taking common prime factors GCF of 3474 and 3477 is 3

Greatest Common Factor of 3474 and 3477 by matching factors method

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Factors of 3477

List of positive integer factors of 3477 that divides 3477 without a remainder.

1,3,19,57,61,183,1159,3477

Greatest Common Factor

We found the factors and prime factorization of 3474 and 3477. The biggest common factor number is the GCF number.
So the greatest common factor 3474 and 3477 is 3.

Also check out the Least Common Multiple of 3474 and 3477

Properties of GCF 3474 and 3477

(i) The GCF of 3474 and 3477 is associative

GCF of 3474 and 3477 = GCF of 3477 and 3474

Related Greatest Common Factor of 3474

Related Greatest Common Factor of 3477

Frequently Asked Questions on GCF of 3474 and 3477

1. What is the GCF of 3474 and 3477?

Answer: GCF of 3474 and 3477 is 3.

2. What are the Factors of 3474?

Answer: Factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474. There are 12 integers that are factors of 3474. The greatest factor of 3474 is 3474.

3. What are the Factors of 3477?

Answer: Factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477. There are 8 integers that are factors of 3477. The greatest factor of 3477 is 3477.

4. How to Find the GCF of 3474 and 3477?

Answer:

Greatest Common Factor of 3474 and 3477 = 3

Step 1: Find the prime factorization of 3474

3474 = 2 x 3 x 3 x 193

Step 2: Find the prime factorization of 3477

3477 = 3 x 19 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3474 and 3477 is 3