Greatest Common Factor of 3472 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 3472, 3478 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3472 and 3478 is 2.

GCF(3472,3478) = 2

GCF of 3472 and 3478

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

GCF of:
and

Greatest Common Factor of 3472 and 3478

GCF of 3472 and 3478 is 2

Prime Factorization of 3472


2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 3472 are 2,7,31. Prime factorization of 3472 in exponential form is:

3472 = 24×71×311

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 3472 and 3478 is 2

Greatest Common Factor of 3472 and 3478 by matching factors method

Factors of 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472

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 3472 and 3478. The biggest common factor number is the GCF number.
So the greatest common factor 3472 and 3478 is 2.

Also check out the Least Common Multiple of 3472 and 3478

Properties of GCF 3472 and 3478

(i) The GCF of 3472 and 3478 is associative

GCF of 3472 and 3478 = GCF of 3478 and 3472

Related Greatest Common Factor of 3472

Related Greatest Common Factor of 3478

Frequently Asked Questions on GCF of 3472 and 3478

1. What is the GCF of 3472 and 3478?

Answer: GCF of 3472 and 3478 is 2.

2. What are the Factors of 3472?

Answer: Factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472. There are 20 integers that are factors of 3472. The greatest factor of 3472 is 3472.

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 3472 and 3478?

Answer:

Greatest Common Factor of 3472 and 3478 = 2

Step 1: Find the prime factorization of 3472

3472 = 2 x 2 x 2 x 2 x 7 x 31

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 3472 and 3478 is 2