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 1930, 1931 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1930 and 1931 is 1.
GCF(1930,1931) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1930
2 | 1930 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 1930 are 2,5,193. Prime factorization of 1930 in exponential form is:
1930 = 21×51×1931
Prime Factorization of 1931
1931 | 1931 |
1 |
Prime factors of 1931 are 1931. Prime factorization of 1931 in exponential form is:
1931 = 19311
∴ So by taking common prime factors GCF of 1930 and 1931 is 1
Factors of 1930
List of positive integer factors of 1930 that divides 1930 without a remainder.
1,2,5,10,193,386,965,1930
Factors of 1931
List of positive integer factors of 1931 that divides 1931 without a remainder.
1,1931
Greatest Common Factor
We found the factors and prime factorization of 1930 and 1931. The biggest common factor number is the GCF number.
So the greatest common factor 1930 and 1931 is 1.
Also check out the Least Common Multiple of 1930 and 1931
(i) The GCF of 1930 and 1931 is associative
GCF of 1930 and 1931 = GCF of 1931 and 1930
1. What is the GCF of 1930 and 1931?
Answer: GCF of 1930 and 1931 is 1.
2. What are the Factors of 1930?
Answer: Factors of 1930 are 1, 2, 5, 10, 193, 386, 965, 1930. There are 8 integers that are factors of 1930. The greatest factor of 1930 is 1930.
3. What are the Factors of 1931?
Answer: Factors of 1931 are 1, 1931. There are 2 integers that are factors of 1931. The greatest factor of 1931 is 1931.
4. How to Find the GCF of 1930 and 1931?
Answer:
Greatest Common Factor of 1930 and 1931 = 1
Step 1: Find the prime factorization of 1930
1930 = 2 x 5 x 193
Step 2: Find the prime factorization of 1931
1931 = 1931
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 1930 and 1931 is 1