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 6942, 6944 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6942 and 6944 is 2.
GCF(6942,6944) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6942
2 | 6942 |
3 | 3471 |
13 | 1157 |
89 | 89 |
1 |
Prime factors of 6942 are 2,3,13,89. Prime factorization of 6942 in exponential form is:
6942 = 21×31×131×891
Prime Factorization of 6944
2 | 6944 |
2 | 3472 |
2 | 1736 |
2 | 868 |
2 | 434 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 6944 are 2,7,31. Prime factorization of 6944 in exponential form is:
6944 = 25×71×311
∴ So by taking common prime factors GCF of 6942 and 6944 is 2
Factors of 6942
List of positive integer factors of 6942 that divides 6942 without a remainder.
1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Factors of 6944
List of positive integer factors of 6944 that divides 6944 without a remainder.
1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944
Greatest Common Factor
We found the factors and prime factorization of 6942 and 6944. The biggest common factor number is the GCF number.
So the greatest common factor 6942 and 6944 is 2.
Also check out the Least Common Multiple of 6942 and 6944
(i) The GCF of 6942 and 6944 is associative
GCF of 6942 and 6944 = GCF of 6944 and 6942
1. What is the GCF of 6942 and 6944?
Answer: GCF of 6942 and 6944 is 2.
2. What are the Factors of 6942?
Answer: Factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942. There are 16 integers that are factors of 6942. The greatest factor of 6942 is 6942.
3. What are the Factors of 6944?
Answer: Factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944. There are 24 integers that are factors of 6944. The greatest factor of 6944 is 6944.
4. How to Find the GCF of 6942 and 6944?
Answer:
Greatest Common Factor of 6942 and 6944 = 2
Step 1: Find the prime factorization of 6942
6942 = 2 x 3 x 13 x 89
Step 2: Find the prime factorization of 6944
6944 = 2 x 2 x 2 x 2 x 2 x 7 x 31
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 6942 and 6944 is 2