Greatest Common Factor of 3476 and 3478

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 3476, 3478 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3476 and 3478 is 2.

GCF(3476,3478) = 2

GCF of 3476 and 3478

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

GCF of:
and

Greatest Common Factor of 3476 and 3478

GCF of 3476 and 3478 is 2

Prime Factorization of 3476


2 3476
2 1738
11 869
79 79
1

Prime factors of 3476 are 2,11,79. Prime factorization of 3476 in exponential form is:

3476 = 22×111×791

Prime Factorization of 3478


2 3478
37 1739
47 47
1

Prime factors of 3478 are 2,37,47. Prime factorization of 3478 in exponential form is:

3478 = 21×371×471

∴ So by taking common prime factors GCF of 3476 and 3478 is 2

Greatest Common Factor of 3476 and 3478 by matching factors method

Factors of 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1,2,4,11,22,44,79,158,316,869,1738,3476

Factors of 3478

List of positive integer factors of 3478 that divides 3478 without a remainder.

1,2,37,47,74,94,1739,3478

Greatest Common Factor

We found the factors and prime factorization of 3476 and 3478. The biggest common factor number is the GCF number.
So the greatest common factor 3476 and 3478 is 2.

Also check out the Least Common Multiple of 3476 and 3478

Properties of GCF 3476 and 3478

(i) The GCF of 3476 and 3478 is associative

GCF of 3476 and 3478 = GCF of 3478 and 3476

Related Greatest Common Factor of 3476

Related Greatest Common Factor of 3478

Frequently Asked Questions on GCF of 3476 and 3478

1. What is the GCF of 3476 and 3478?

Answer: GCF of 3476 and 3478 is 2.

2. What are the Factors of 3476?

Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.

3. What are the Factors of 3478?

Answer: Factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478. There are 8 integers that are factors of 3478. The greatest factor of 3478 is 3478.

4. How to Find the GCF of 3476 and 3478?

Answer:

Greatest Common Factor of 3476 and 3478 = 2

Step 1: Find the prime factorization of 3476

3476 = 2 x 2 x 11 x 79

Step 2: Find the prime factorization of 3478

3478 = 2 x 37 x 47

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3476 and 3478 is 2