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 861, 862 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 861 and 862 is 1.
GCF(861,862) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 861
3 | 861 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 861 are 3,7,41. Prime factorization of 861 in exponential form is:
861 = 31×71×411
Prime Factorization of 862
2 | 862 |
431 | 431 |
1 |
Prime factors of 862 are 2,431. Prime factorization of 862 in exponential form is:
862 = 21×4311
∴ So by taking common prime factors GCF of 861 and 862 is 1
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors and prime factorization of 861 and 862. The biggest common factor number is the GCF number.
So the greatest common factor 861 and 862 is 1.
Also check out the Least Common Multiple of 861 and 862
(i) The GCF of 861 and 862 is associative
GCF of 861 and 862 = GCF of 862 and 861
1. What is the GCF of 861 and 862?
Answer: GCF of 861 and 862 is 1.
2. What are the Factors of 861?
Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.
3. What are the Factors of 862?
Answer: Factors of 862 are 1, 2, 431, 862. There are 4 integers that are factors of 862. The greatest factor of 862 is 862.
4. How to Find the GCF of 861 and 862?
Answer:
Greatest Common Factor of 861 and 862 = 1
Step 1: Find the prime factorization of 861
861 = 3 x 7 x 41
Step 2: Find the prime factorization of 862
862 = 2 x 431
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 861 and 862 is 1