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 1656, 1664 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1656 and 1664 is 8.
GCF(1656,1664) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1656
2 | 1656 |
2 | 828 |
2 | 414 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 1656 are 2,3,23. Prime factorization of 1656 in exponential form is:
1656 = 23×32×231
Prime Factorization of 1664
2 | 1664 |
2 | 832 |
2 | 416 |
2 | 208 |
2 | 104 |
2 | 52 |
2 | 26 |
13 | 13 |
1 |
Prime factors of 1664 are 2,13. Prime factorization of 1664 in exponential form is:
1664 = 27×131
∴ So by taking common prime factors GCF of 1656 and 1664 is 8
Factors of 1656
List of positive integer factors of 1656 that divides 1656 without a remainder.
1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656
Factors of 1664
List of positive integer factors of 1664 that divides 1664 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664
Greatest Common Factor
We found the factors and prime factorization of 1656 and 1664. The biggest common factor number is the GCF number.
So the greatest common factor 1656 and 1664 is 8.
Also check out the Least Common Multiple of 1656 and 1664
(i) The GCF of 1656 and 1664 is associative
GCF of 1656 and 1664 = GCF of 1664 and 1656
1. What is the GCF of 1656 and 1664?
Answer: GCF of 1656 and 1664 is 8.
2. What are the Factors of 1656?
Answer: Factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656. There are 24 integers that are factors of 1656. The greatest factor of 1656 is 1656.
3. What are the Factors of 1664?
Answer: Factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664. There are 16 integers that are factors of 1664. The greatest factor of 1664 is 1664.
4. How to Find the GCF of 1656 and 1664?
Answer:
Greatest Common Factor of 1656 and 1664 = 8
Step 1: Find the prime factorization of 1656
1656 = 2 x 2 x 2 x 3 x 3 x 23
Step 2: Find the prime factorization of 1664
1664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13
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 1656 and 1664 is 8