Greatest Common Factor of 7545 and 7551

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 7545, 7551 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7545 and 7551 is 3.

GCF(7545,7551) = 3

GCF of 7545 and 7551

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

GCF of:
and

Greatest Common Factor of 7545 and 7551

GCF of 7545 and 7551 is 3

Prime Factorization of 7545


3 7545
5 2515
503 503
1

Prime factors of 7545 are 3,5,503. Prime factorization of 7545 in exponential form is:

7545 = 31×51×5031

Prime Factorization of 7551


3 7551
3 2517
839 839
1

Prime factors of 7551 are 3,839. Prime factorization of 7551 in exponential form is:

7551 = 32×8391

∴ So by taking common prime factors GCF of 7545 and 7551 is 3

Greatest Common Factor of 7545 and 7551 by matching factors method

Factors of 7545

List of positive integer factors of 7545 that divides 7545 without a remainder.

1,3,5,15,503,1509,2515,7545

Factors of 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1,3,9,839,2517,7551

Greatest Common Factor

We found the factors and prime factorization of 7545 and 7551. The biggest common factor number is the GCF number.
So the greatest common factor 7545 and 7551 is 3.

Also check out the Least Common Multiple of 7545 and 7551

Properties of GCF 7545 and 7551

(i) The GCF of 7545 and 7551 is associative

GCF of 7545 and 7551 = GCF of 7551 and 7545

Related Greatest Common Factor of 7545

Related Greatest Common Factor of 7551

Frequently Asked Questions on GCF of 7545 and 7551

1. What is the GCF of 7545 and 7551?

Answer: GCF of 7545 and 7551 is 3.

2. What are the Factors of 7545?

Answer: Factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545. There are 8 integers that are factors of 7545. The greatest factor of 7545 is 7545.

3. What are the Factors of 7551?

Answer: Factors of 7551 are 1, 3, 9, 839, 2517, 7551. There are 6 integers that are factors of 7551. The greatest factor of 7551 is 7551.

4. How to Find the GCF of 7545 and 7551?

Answer:

Greatest Common Factor of 7545 and 7551 = 3

Step 1: Find the prime factorization of 7545

7545 = 3 x 5 x 503

Step 2: Find the prime factorization of 7551

7551 = 3 x 3 x 839

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 7545 and 7551 is 3