Greatest Common Factor of 3408 and 3416

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 3408, 3416 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3408 and 3416 is 8.

GCF(3408,3416) = 8

GCF of 3408 and 3416

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

GCF of:
and

Greatest Common Factor of 3408 and 3416

GCF of 3408 and 3416 is 8

Prime Factorization of 3408


2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 3408 are 2,3,71. Prime factorization of 3408 in exponential form is:

3408 = 24×31×711

Prime Factorization of 3416


2 3416
2 1708
2 854
7 427
61 61
1

Prime factors of 3416 are 2,7,61. Prime factorization of 3416 in exponential form is:

3416 = 23×71×611

∴ So by taking common prime factors GCF of 3408 and 3416 is 8

Greatest Common Factor of 3408 and 3416 by matching factors method

Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408

Factors of 3416

List of positive integer factors of 3416 that divides 3416 without a remainder.

1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416

Greatest Common Factor

We found the factors and prime factorization of 3408 and 3416. The biggest common factor number is the GCF number.
So the greatest common factor 3408 and 3416 is 8.

Also check out the Least Common Multiple of 3408 and 3416

Properties of GCF 3408 and 3416

(i) The GCF of 3408 and 3416 is associative

GCF of 3408 and 3416 = GCF of 3416 and 3408

Related Greatest Common Factor of 3408

Related Greatest Common Factor of 3416

Frequently Asked Questions on GCF of 3408 and 3416

1. What is the GCF of 3408 and 3416?

Answer: GCF of 3408 and 3416 is 8.

2. What are the Factors of 3408?

Answer: Factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. There are 20 integers that are factors of 3408. The greatest factor of 3408 is 3408.

3. What are the Factors of 3416?

Answer: Factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416. There are 16 integers that are factors of 3416. The greatest factor of 3416 is 3416.

4. How to Find the GCF of 3408 and 3416?

Answer:

Greatest Common Factor of 3408 and 3416 = 8

Step 1: Find the prime factorization of 3408

3408 = 2 x 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 3416

3416 = 2 x 2 x 2 x 7 x 61

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 3408 and 3416 is 8