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 7552, 7555 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7552 and 7555 is 1.
GCF(7552,7555) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7552
2 | 7552 |
2 | 3776 |
2 | 1888 |
2 | 944 |
2 | 472 |
2 | 236 |
2 | 118 |
59 | 59 |
1 |
Prime factors of 7552 are 2,59. Prime factorization of 7552 in exponential form is:
7552 = 27×591
Prime Factorization of 7555
5 | 7555 |
1511 | 1511 |
1 |
Prime factors of 7555 are 5,1511. Prime factorization of 7555 in exponential form is:
7555 = 51×15111
∴ So by taking common prime factors GCF of 7552 and 7555 is 1
Factors of 7552
List of positive integer factors of 7552 that divides 7552 without a remainder.
1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552
Factors of 7555
List of positive integer factors of 7555 that divides 7555 without a remainder.
1,5,1511,7555
Greatest Common Factor
We found the factors and prime factorization of 7552 and 7555. The biggest common factor number is the GCF number.
So the greatest common factor 7552 and 7555 is 1.
Also check out the Least Common Multiple of 7552 and 7555
(i) The GCF of 7552 and 7555 is associative
GCF of 7552 and 7555 = GCF of 7555 and 7552
1. What is the GCF of 7552 and 7555?
Answer: GCF of 7552 and 7555 is 1.
2. What are the Factors of 7552?
Answer: Factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552. There are 16 integers that are factors of 7552. The greatest factor of 7552 is 7552.
3. What are the Factors of 7555?
Answer: Factors of 7555 are 1, 5, 1511, 7555. There are 4 integers that are factors of 7555. The greatest factor of 7555 is 7555.
4. How to Find the GCF of 7552 and 7555?
Answer:
Greatest Common Factor of 7552 and 7555 = 1
Step 1: Find the prime factorization of 7552
7552 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59
Step 2: Find the prime factorization of 7555
7555 = 5 x 1511
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 7552 and 7555 is 1