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 934, 940 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 934 and 940 is 2.
GCF(934,940) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 934
2 | 934 |
467 | 467 |
1 |
Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:
934 = 21×4671
Prime Factorization of 940
2 | 940 |
2 | 470 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 940 are 2,5,47. Prime factorization of 940 in exponential form is:
940 = 22×51×471
∴ So by taking common prime factors GCF of 934 and 940 is 2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors and prime factorization of 934 and 940. The biggest common factor number is the GCF number.
So the greatest common factor 934 and 940 is 2.
Also check out the Least Common Multiple of 934 and 940
(i) The GCF of 934 and 940 is associative
GCF of 934 and 940 = GCF of 940 and 934
1. What is the GCF of 934 and 940?
Answer: GCF of 934 and 940 is 2.
2. What are the Factors of 934?
Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.
3. What are the Factors of 940?
Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.
4. How to Find the GCF of 934 and 940?
Answer:
Greatest Common Factor of 934 and 940 = 2
Step 1: Find the prime factorization of 934
934 = 2 x 467
Step 2: Find the prime factorization of 940
940 = 2 x 2 x 5 x 47
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 934 and 940 is 2