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 7539, 7544 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7539 and 7544 is 1.
GCF(7539,7544) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7539
3 | 7539 |
7 | 2513 |
359 | 359 |
1 |
Prime factors of 7539 are 3,7,359. Prime factorization of 7539 in exponential form is:
7539 = 31×71×3591
Prime Factorization of 7544
2 | 7544 |
2 | 3772 |
2 | 1886 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 7544 are 2,23,41. Prime factorization of 7544 in exponential form is:
7544 = 23×231×411
∴ So by taking common prime factors GCF of 7539 and 7544 is 1
Factors of 7539
List of positive integer factors of 7539 that divides 7539 without a remainder.
1,3,7,21,359,1077,2513,7539
Factors of 7544
List of positive integer factors of 7544 that divides 7544 without a remainder.
1,2,4,8,23,41,46,82,92,164,184,328,943,1886,3772,7544
Greatest Common Factor
We found the factors and prime factorization of 7539 and 7544. The biggest common factor number is the GCF number.
So the greatest common factor 7539 and 7544 is 1.
Also check out the Least Common Multiple of 7539 and 7544
(i) The GCF of 7539 and 7544 is associative
GCF of 7539 and 7544 = GCF of 7544 and 7539
1. What is the GCF of 7539 and 7544?
Answer: GCF of 7539 and 7544 is 1.
2. What are the Factors of 7539?
Answer: Factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539. There are 8 integers that are factors of 7539. The greatest factor of 7539 is 7539.
3. What are the Factors of 7544?
Answer: Factors of 7544 are 1, 2, 4, 8, 23, 41, 46, 82, 92, 164, 184, 328, 943, 1886, 3772, 7544. There are 16 integers that are factors of 7544. The greatest factor of 7544 is 7544.
4. How to Find the GCF of 7539 and 7544?
Answer:
Greatest Common Factor of 7539 and 7544 = 1
Step 1: Find the prime factorization of 7539
7539 = 3 x 7 x 359
Step 2: Find the prime factorization of 7544
7544 = 2 x 2 x 2 x 23 x 41
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 7539 and 7544 is 1