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, 7939 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7936 and 7939 is 1.
GCF(7936,7939) = 1
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 7939
17 | 7939 |
467 | 467 |
1 |
Prime factors of 7939 are 17,467. Prime factorization of 7939 in exponential form is:
7939 = 171×4671
∴ So by taking common prime factors GCF of 7936 and 7939 is 1
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 7939
List of positive integer factors of 7939 that divides 7939 without a remainder.
1,17,467,7939
Greatest Common Factor
We found the factors and prime factorization of 7936 and 7939. The biggest common factor number is the GCF number.
So the greatest common factor 7936 and 7939 is 1.
Also check out the Least Common Multiple of 7936 and 7939
(i) The GCF of 7936 and 7939 is associative
GCF of 7936 and 7939 = GCF of 7939 and 7936
1. What is the GCF of 7936 and 7939?
Answer: GCF of 7936 and 7939 is 1.
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 7939?
Answer: Factors of 7939 are 1, 17, 467, 7939. There are 4 integers that are factors of 7939. The greatest factor of 7939 is 7939.
4. How to Find the GCF of 7936 and 7939?
Answer:
Greatest Common Factor of 7936 and 7939 = 1
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 7939
7939 = 17 x 467
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 7936 and 7939 is 1