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 1860, 1867 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1860 and 1867 is 1.
GCF(1860,1867) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1860
2 | 1860 |
2 | 930 |
3 | 465 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 1860 are 2,3,5,31. Prime factorization of 1860 in exponential form is:
1860 = 22×31×51×311
Prime Factorization of 1867
1867 | 1867 |
1 |
Prime factors of 1867 are 1867. Prime factorization of 1867 in exponential form is:
1867 = 18671
∴ So by taking common prime factors GCF of 1860 and 1867 is 1
Factors of 1860
List of positive integer factors of 1860 that divides 1860 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860
Factors of 1867
List of positive integer factors of 1867 that divides 1867 without a remainder.
1,1867
Greatest Common Factor
We found the factors and prime factorization of 1860 and 1867. The biggest common factor number is the GCF number.
So the greatest common factor 1860 and 1867 is 1.
Also check out the Least Common Multiple of 1860 and 1867
(i) The GCF of 1860 and 1867 is associative
GCF of 1860 and 1867 = GCF of 1867 and 1860
1. What is the GCF of 1860 and 1867?
Answer: GCF of 1860 and 1867 is 1.
2. What are the Factors of 1860?
Answer: Factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860. There are 24 integers that are factors of 1860. The greatest factor of 1860 is 1860.
3. What are the Factors of 1867?
Answer: Factors of 1867 are 1, 1867. There are 2 integers that are factors of 1867. The greatest factor of 1867 is 1867.
4. How to Find the GCF of 1860 and 1867?
Answer:
Greatest Common Factor of 1860 and 1867 = 1
Step 1: Find the prime factorization of 1860
1860 = 2 x 2 x 3 x 5 x 31
Step 2: Find the prime factorization of 1867
1867 = 1867
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 1860 and 1867 is 1