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 7952, 7956 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7952 and 7956 is 4.
GCF(7952,7956) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7952
2 | 7952 |
2 | 3976 |
2 | 1988 |
2 | 994 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 7952 are 2,7,71. Prime factorization of 7952 in exponential form is:
7952 = 24×71×711
Prime Factorization of 7956
2 | 7956 |
2 | 3978 |
3 | 1989 |
3 | 663 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 7956 are 2,3,13,17. Prime factorization of 7956 in exponential form is:
7956 = 22×32×131×171
∴ So by taking common prime factors GCF of 7952 and 7956 is 4
Factors of 7952
List of positive integer factors of 7952 that divides 7952 without a remainder.
1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952
Factors of 7956
List of positive integer factors of 7956 that divides 7956 without a remainder.
1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Greatest Common Factor
We found the factors and prime factorization of 7952 and 7956. The biggest common factor number is the GCF number.
So the greatest common factor 7952 and 7956 is 4.
Also check out the Least Common Multiple of 7952 and 7956
(i) The GCF of 7952 and 7956 is associative
GCF of 7952 and 7956 = GCF of 7956 and 7952
1. What is the GCF of 7952 and 7956?
Answer: GCF of 7952 and 7956 is 4.
2. What are the Factors of 7952?
Answer: Factors of 7952 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952. There are 20 integers that are factors of 7952. The greatest factor of 7952 is 7952.
3. What are the Factors of 7956?
Answer: Factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956. There are 36 integers that are factors of 7956. The greatest factor of 7956 is 7956.
4. How to Find the GCF of 7952 and 7956?
Answer:
Greatest Common Factor of 7952 and 7956 = 4
Step 1: Find the prime factorization of 7952
7952 = 2 x 2 x 2 x 2 x 7 x 71
Step 2: Find the prime factorization of 7956
7956 = 2 x 2 x 3 x 3 x 13 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 7952 and 7956 is 4