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 5656, 5664 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5656 and 5664 is 8.
GCF(5656,5664) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5656
2 | 5656 |
2 | 2828 |
2 | 1414 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 5656 are 2,7,101. Prime factorization of 5656 in exponential form is:
5656 = 23×71×1011
Prime Factorization of 5664
2 | 5664 |
2 | 2832 |
2 | 1416 |
2 | 708 |
2 | 354 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 5664 are 2,3,59. Prime factorization of 5664 in exponential form is:
5664 = 25×31×591
∴ So by taking common prime factors GCF of 5656 and 5664 is 8
Factors of 5656
List of positive integer factors of 5656 that divides 5656 without a remainder.
1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656
Factors of 5664
List of positive integer factors of 5664 that divides 5664 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Greatest Common Factor
We found the factors and prime factorization of 5656 and 5664. The biggest common factor number is the GCF number.
So the greatest common factor 5656 and 5664 is 8.
Also check out the Least Common Multiple of 5656 and 5664
(i) The GCF of 5656 and 5664 is associative
GCF of 5656 and 5664 = GCF of 5664 and 5656
1. What is the GCF of 5656 and 5664?
Answer: GCF of 5656 and 5664 is 8.
2. What are the Factors of 5656?
Answer: Factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656. There are 16 integers that are factors of 5656. The greatest factor of 5656 is 5656.
3. What are the Factors of 5664?
Answer: Factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664. There are 24 integers that are factors of 5664. The greatest factor of 5664 is 5664.
4. How to Find the GCF of 5656 and 5664?
Answer:
Greatest Common Factor of 5656 and 5664 = 8
Step 1: Find the prime factorization of 5656
5656 = 2 x 2 x 2 x 7 x 101
Step 2: Find the prime factorization of 5664
5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59
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 5656 and 5664 is 8