Greatest Common Factor of 7536 and 7543

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 7536, 7543 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7536 and 7543 is 1.

GCF(7536,7543) = 1

GCF of 7536 and 7543

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7536 and 7543

GCF of 7536 and 7543 is 1

Prime Factorization of 7536


2 7536
2 3768
2 1884
2 942
3 471
157 157
1

Prime factors of 7536 are 2,3,157. Prime factorization of 7536 in exponential form is:

7536 = 24×31×1571

Prime Factorization of 7543


19 7543
397 397
1

Prime factors of 7543 are 19,397. Prime factorization of 7543 in exponential form is:

7543 = 191×3971

∴ So by taking common prime factors GCF of 7536 and 7543 is 1

Greatest Common Factor of 7536 and 7543 by matching factors method

Factors of 7536

List of positive integer factors of 7536 that divides 7536 without a remainder.

1,2,3,4,6,8,12,16,24,48,157,314,471,628,942,1256,1884,2512,3768,7536

Factors of 7543

List of positive integer factors of 7543 that divides 7543 without a remainder.

1,19,397,7543

Greatest Common Factor

We found the factors and prime factorization of 7536 and 7543. The biggest common factor number is the GCF number.
So the greatest common factor 7536 and 7543 is 1.

Also check out the Least Common Multiple of 7536 and 7543

Properties of GCF 7536 and 7543

(i) The GCF of 7536 and 7543 is associative

GCF of 7536 and 7543 = GCF of 7543 and 7536

Related Greatest Common Factor of 7536

Related Greatest Common Factor of 7543

Frequently Asked Questions on GCF of 7536 and 7543

1. What is the GCF of 7536 and 7543?

Answer: GCF of 7536 and 7543 is 1.

2. What are the Factors of 7536?

Answer: Factors of 7536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 7536. There are 20 integers that are factors of 7536. The greatest factor of 7536 is 7536.

3. What are the Factors of 7543?

Answer: Factors of 7543 are 1, 19, 397, 7543. There are 4 integers that are factors of 7543. The greatest factor of 7543 is 7543.

4. How to Find the GCF of 7536 and 7543?

Answer:

Greatest Common Factor of 7536 and 7543 = 1

Step 1: Find the prime factorization of 7536

7536 = 2 x 2 x 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 7543

7543 = 19 x 397

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 7536 and 7543 is 1