Greatest Common Factor of 3444 and 3451

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 3444, 3451 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3444 and 3451 is 7.

GCF(3444,3451) = 7

GCF of 3444 and 3451

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

GCF of:
and

Greatest Common Factor of 3444 and 3451

GCF of 3444 and 3451 is 7

Prime Factorization of 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2,3,7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

Prime Factorization of 3451


7 3451
17 493
29 29
1

Prime factors of 3451 are 7,17,29. Prime factorization of 3451 in exponential form is:

3451 = 71×171×291

∴ So by taking common prime factors GCF of 3444 and 3451 is 7

Greatest Common Factor of 3444 and 3451 by matching factors method

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

Factors of 3451

List of positive integer factors of 3451 that divides 3451 without a remainder.

1,7,17,29,119,203,493,3451

Greatest Common Factor

We found the factors and prime factorization of 3444 and 3451. The biggest common factor number is the GCF number.
So the greatest common factor 3444 and 3451 is 7.

Also check out the Least Common Multiple of 3444 and 3451

Properties of GCF 3444 and 3451

(i) The GCF of 3444 and 3451 is associative

GCF of 3444 and 3451 = GCF of 3451 and 3444

Related Greatest Common Factor of 3444

Related Greatest Common Factor of 3451

Frequently Asked Questions on GCF of 3444 and 3451

1. What is the GCF of 3444 and 3451?

Answer: GCF of 3444 and 3451 is 7.

2. What are the Factors of 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

3. What are the Factors of 3451?

Answer: Factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451. There are 8 integers that are factors of 3451. The greatest factor of 3451 is 3451.

4. How to Find the GCF of 3444 and 3451?

Answer:

Greatest Common Factor of 3444 and 3451 = 7

Step 1: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

Step 2: Find the prime factorization of 3451

3451 = 7 x 17 x 29

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3444 and 3451 is 7