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 7936, 7938 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7936 and 7938 is 2.
GCF(7936,7938) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7936
2 | 7936 |
2 | 3968 |
2 | 1984 |
2 | 992 |
2 | 496 |
2 | 248 |
2 | 124 |
2 | 62 |
31 | 31 |
1 |
Prime factors of 7936 are 2,31. Prime factorization of 7936 in exponential form is:
7936 = 28×311
Prime Factorization of 7938
2 | 7938 |
3 | 3969 |
3 | 1323 |
3 | 441 |
3 | 147 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 7938 are 2,3,7. Prime factorization of 7938 in exponential form is:
7938 = 21×34×72
∴ So by taking common prime factors GCF of 7936 and 7938 is 2
Factors of 7936
List of positive integer factors of 7936 that divides 7936 without a remainder.
1,2,4,8,16,31,32,62,64,124,128,248,256,496,992,1984,3968,7936
Factors of 7938
List of positive integer factors of 7938 that divides 7938 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938
Greatest Common Factor
We found the factors and prime factorization of 7936 and 7938. The biggest common factor number is the GCF number.
So the greatest common factor 7936 and 7938 is 2.
Also check out the Least Common Multiple of 7936 and 7938
(i) The GCF of 7936 and 7938 is associative
GCF of 7936 and 7938 = GCF of 7938 and 7936
1. What is the GCF of 7936 and 7938?
Answer: GCF of 7936 and 7938 is 2.
2. What are the Factors of 7936?
Answer: Factors of 7936 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936. There are 18 integers that are factors of 7936. The greatest factor of 7936 is 7936.
3. What are the Factors of 7938?
Answer: Factors of 7938 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 378, 441, 567, 882, 1134, 1323, 2646, 3969, 7938. There are 30 integers that are factors of 7938. The greatest factor of 7938 is 7938.
4. How to Find the GCF of 7936 and 7938?
Answer:
Greatest Common Factor of 7936 and 7938 = 2
Step 1: Find the prime factorization of 7936
7936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31
Step 2: Find the prime factorization of 7938
7938 = 2 x 3 x 3 x 3 x 3 x 7 x 7
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 7936 and 7938 is 2