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 6632, 6640 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6632 and 6640 is 8.
GCF(6632,6640) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6632
2 | 6632 |
2 | 3316 |
2 | 1658 |
829 | 829 |
1 |
Prime factors of 6632 are 2,829. Prime factorization of 6632 in exponential form is:
6632 = 23×8291
Prime Factorization of 6640
2 | 6640 |
2 | 3320 |
2 | 1660 |
2 | 830 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 6640 are 2,5,83. Prime factorization of 6640 in exponential form is:
6640 = 24×51×831
∴ So by taking common prime factors GCF of 6632 and 6640 is 8
Factors of 6632
List of positive integer factors of 6632 that divides 6632 without a remainder.
1,2,4,8,829,1658,3316,6632
Factors of 6640
List of positive integer factors of 6640 that divides 6640 without a remainder.
1,2,4,5,8,10,16,20,40,80,83,166,332,415,664,830,1328,1660,3320,6640
Greatest Common Factor
We found the factors and prime factorization of 6632 and 6640. The biggest common factor number is the GCF number.
So the greatest common factor 6632 and 6640 is 8.
Also check out the Least Common Multiple of 6632 and 6640
(i) The GCF of 6632 and 6640 is associative
GCF of 6632 and 6640 = GCF of 6640 and 6632
1. What is the GCF of 6632 and 6640?
Answer: GCF of 6632 and 6640 is 8.
2. What are the Factors of 6632?
Answer: Factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632. There are 8 integers that are factors of 6632. The greatest factor of 6632 is 6632.
3. What are the Factors of 6640?
Answer: Factors of 6640 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 83, 166, 332, 415, 664, 830, 1328, 1660, 3320, 6640. There are 20 integers that are factors of 6640. The greatest factor of 6640 is 6640.
4. How to Find the GCF of 6632 and 6640?
Answer:
Greatest Common Factor of 6632 and 6640 = 8
Step 1: Find the prime factorization of 6632
6632 = 2 x 2 x 2 x 829
Step 2: Find the prime factorization of 6640
6640 = 2 x 2 x 2 x 2 x 5 x 83
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 6632 and 6640 is 8