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 1885, 1888 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1885 and 1888 is 1.
GCF(1885,1888) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1885
5 | 1885 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 1885 are 5,13,29. Prime factorization of 1885 in exponential form is:
1885 = 51×131×291
Prime Factorization of 1888
2 | 1888 |
2 | 944 |
2 | 472 |
2 | 236 |
2 | 118 |
59 | 59 |
1 |
Prime factors of 1888 are 2,59. Prime factorization of 1888 in exponential form is:
1888 = 25×591
∴ So by taking common prime factors GCF of 1885 and 1888 is 1
Factors of 1885
List of positive integer factors of 1885 that divides 1885 without a remainder.
1,5,13,29,65,145,377,1885
Factors of 1888
List of positive integer factors of 1888 that divides 1888 without a remainder.
1,2,4,8,16,32,59,118,236,472,944,1888
Greatest Common Factor
We found the factors and prime factorization of 1885 and 1888. The biggest common factor number is the GCF number.
So the greatest common factor 1885 and 1888 is 1.
Also check out the Least Common Multiple of 1885 and 1888
(i) The GCF of 1885 and 1888 is associative
GCF of 1885 and 1888 = GCF of 1888 and 1885
1. What is the GCF of 1885 and 1888?
Answer: GCF of 1885 and 1888 is 1.
2. What are the Factors of 1885?
Answer: Factors of 1885 are 1, 5, 13, 29, 65, 145, 377, 1885. There are 8 integers that are factors of 1885. The greatest factor of 1885 is 1885.
3. What are the Factors of 1888?
Answer: Factors of 1888 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 944, 1888. There are 12 integers that are factors of 1888. The greatest factor of 1888 is 1888.
4. How to Find the GCF of 1885 and 1888?
Answer:
Greatest Common Factor of 1885 and 1888 = 1
Step 1: Find the prime factorization of 1885
1885 = 5 x 13 x 29
Step 2: Find the prime factorization of 1888
1888 = 2 x 2 x 2 x 2 x 2 x 59
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 1885 and 1888 is 1