Greatest Common Factor of 3380 and 3384

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 3380, 3384 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3380 and 3384 is 4.

GCF(3380,3384) = 4

GCF of 3380 and 3384

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

GCF of:
and

Greatest Common Factor of 3380 and 3384

GCF of 3380 and 3384 is 4

Prime Factorization of 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2,5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

Prime Factorization of 3384


2 3384
2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 3384 are 2,3,47. Prime factorization of 3384 in exponential form is:

3384 = 23×32×471

∴ So by taking common prime factors GCF of 3380 and 3384 is 4

Greatest Common Factor of 3380 and 3384 by matching factors method

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Factors of 3384

List of positive integer factors of 3384 that divides 3384 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,47,72,94,141,188,282,376,423,564,846,1128,1692,3384

Greatest Common Factor

We found the factors and prime factorization of 3380 and 3384. The biggest common factor number is the GCF number.
So the greatest common factor 3380 and 3384 is 4.

Also check out the Least Common Multiple of 3380 and 3384

Properties of GCF 3380 and 3384

(i) The GCF of 3380 and 3384 is associative

GCF of 3380 and 3384 = GCF of 3384 and 3380

Related Greatest Common Factor of 3380

Related Greatest Common Factor of 3384

Frequently Asked Questions on GCF of 3380 and 3384

1. What is the GCF of 3380 and 3384?

Answer: GCF of 3380 and 3384 is 4.

2. What are the Factors of 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

3. What are the Factors of 3384?

Answer: Factors of 3384 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 47, 72, 94, 141, 188, 282, 376, 423, 564, 846, 1128, 1692, 3384. There are 24 integers that are factors of 3384. The greatest factor of 3384 is 3384.

4. How to Find the GCF of 3380 and 3384?

Answer:

Greatest Common Factor of 3380 and 3384 = 4

Step 1: Find the prime factorization of 3380

3380 = 2 x 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 3384

3384 = 2 x 2 x 2 x 3 x 3 x 47

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 3380 and 3384 is 4