Greatest Common Factor of 3472 and 3476

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, 3476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3472 and 3476 is 4.

GCF(3472,3476) = 4

GCF of 3472 and 3476

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

GCF of:
and

Greatest Common Factor of 3472 and 3476

GCF of 3472 and 3476 is 4

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 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

∴ So by taking common prime factors GCF of 3472 and 3476 is 4

Greatest Common Factor of 3472 and 3476 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 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

Greatest Common Factor

We found the factors and prime factorization of 3472 and 3476. The biggest common factor number is the GCF number.
So the greatest common factor 3472 and 3476 is 4.

Also check out the Least Common Multiple of 3472 and 3476

Properties of GCF 3472 and 3476

(i) The GCF of 3472 and 3476 is associative

GCF of 3472 and 3476 = GCF of 3476 and 3472

Related Greatest Common Factor of 3472

Related Greatest Common Factor of 3476

Frequently Asked Questions on GCF of 3472 and 3476

1. What is the GCF of 3472 and 3476?

Answer: GCF of 3472 and 3476 is 4.

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 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.

4. How to Find the GCF of 3472 and 3476?

Answer:

Greatest Common Factor of 3472 and 3476 = 4

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 3476

3476 = 2 x 2 x 11 x 79

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3472 and 3476 is 4