Greatest Common Factor of 3376 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 3376, 3384 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3376 and 3384 is 8.

GCF(3376,3384) = 8

GCF of 3376 and 3384

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

GCF of:
and

Greatest Common Factor of 3376 and 3384

GCF of 3376 and 3384 is 8

Prime Factorization of 3376


2 3376
2 1688
2 844
2 422
211 211
1

Prime factors of 3376 are 2,211. Prime factorization of 3376 in exponential form is:

3376 = 24×2111

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 3376 and 3384 is 8

Greatest Common Factor of 3376 and 3384 by matching factors method

Factors of 3376

List of positive integer factors of 3376 that divides 3376 without a remainder.

1,2,4,8,16,211,422,844,1688,3376

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 3376 and 3384. The biggest common factor number is the GCF number.
So the greatest common factor 3376 and 3384 is 8.

Also check out the Least Common Multiple of 3376 and 3384

Properties of GCF 3376 and 3384

(i) The GCF of 3376 and 3384 is associative

GCF of 3376 and 3384 = GCF of 3384 and 3376

Related Greatest Common Factor of 3376

Related Greatest Common Factor of 3384

Frequently Asked Questions on GCF of 3376 and 3384

1. What is the GCF of 3376 and 3384?

Answer: GCF of 3376 and 3384 is 8.

2. What are the Factors of 3376?

Answer: Factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376. There are 10 integers that are factors of 3376. The greatest factor of 3376 is 3376.

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 3376 and 3384?

Answer:

Greatest Common Factor of 3376 and 3384 = 8

Step 1: Find the prime factorization of 3376

3376 = 2 x 2 x 2 x 2 x 211

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 3376 and 3384 is 8