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 2664, 2669 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2664 and 2669 is 1.
GCF(2664,2669) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2664
2 | 2664 |
2 | 1332 |
2 | 666 |
3 | 333 |
3 | 111 |
37 | 37 |
1 |
Prime factors of 2664 are 2,3,37. Prime factorization of 2664 in exponential form is:
2664 = 23×32×371
Prime Factorization of 2669
17 | 2669 |
157 | 157 |
1 |
Prime factors of 2669 are 17,157. Prime factorization of 2669 in exponential form is:
2669 = 171×1571
∴ So by taking common prime factors GCF of 2664 and 2669 is 1
Factors of 2664
List of positive integer factors of 2664 that divides 2664 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664
Factors of 2669
List of positive integer factors of 2669 that divides 2669 without a remainder.
1,17,157,2669
Greatest Common Factor
We found the factors and prime factorization of 2664 and 2669. The biggest common factor number is the GCF number.
So the greatest common factor 2664 and 2669 is 1.
Also check out the Least Common Multiple of 2664 and 2669
(i) The GCF of 2664 and 2669 is associative
GCF of 2664 and 2669 = GCF of 2669 and 2664
1. What is the GCF of 2664 and 2669?
Answer: GCF of 2664 and 2669 is 1.
2. What are the Factors of 2664?
Answer: Factors of 2664 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 37, 72, 74, 111, 148, 222, 296, 333, 444, 666, 888, 1332, 2664. There are 24 integers that are factors of 2664. The greatest factor of 2664 is 2664.
3. What are the Factors of 2669?
Answer: Factors of 2669 are 1, 17, 157, 2669. There are 4 integers that are factors of 2669. The greatest factor of 2669 is 2669.
4. How to Find the GCF of 2664 and 2669?
Answer:
Greatest Common Factor of 2664 and 2669 = 1
Step 1: Find the prime factorization of 2664
2664 = 2 x 2 x 2 x 3 x 3 x 37
Step 2: Find the prime factorization of 2669
2669 = 17 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2664 and 2669 is 1