Greatest Common Factor of 7550 and 7554

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 7550, 7554 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7550 and 7554 is 2.

GCF(7550,7554) = 2

GCF of 7550 and 7554

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

GCF of:
and

Greatest Common Factor of 7550 and 7554

GCF of 7550 and 7554 is 2

Prime Factorization of 7550


2 7550
5 3775
5 755
151 151
1

Prime factors of 7550 are 2,5,151. Prime factorization of 7550 in exponential form is:

7550 = 21×52×1511

Prime Factorization of 7554


2 7554
3 3777
1259 1259
1

Prime factors of 7554 are 2,3,1259. Prime factorization of 7554 in exponential form is:

7554 = 21×31×12591

∴ So by taking common prime factors GCF of 7550 and 7554 is 2

Greatest Common Factor of 7550 and 7554 by matching factors method

Factors of 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1,2,5,10,25,50,151,302,755,1510,3775,7550

Factors of 7554

List of positive integer factors of 7554 that divides 7554 without a remainder.

1,2,3,6,1259,2518,3777,7554

Greatest Common Factor

We found the factors and prime factorization of 7550 and 7554. The biggest common factor number is the GCF number.
So the greatest common factor 7550 and 7554 is 2.

Also check out the Least Common Multiple of 7550 and 7554

Properties of GCF 7550 and 7554

(i) The GCF of 7550 and 7554 is associative

GCF of 7550 and 7554 = GCF of 7554 and 7550

Related Greatest Common Factor of 7550

Related Greatest Common Factor of 7554

Frequently Asked Questions on GCF of 7550 and 7554

1. What is the GCF of 7550 and 7554?

Answer: GCF of 7550 and 7554 is 2.

2. What are the Factors of 7550?

Answer: Factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550. There are 12 integers that are factors of 7550. The greatest factor of 7550 is 7550.

3. What are the Factors of 7554?

Answer: Factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554. There are 8 integers that are factors of 7554. The greatest factor of 7554 is 7554.

4. How to Find the GCF of 7550 and 7554?

Answer:

Greatest Common Factor of 7550 and 7554 = 2

Step 1: Find the prime factorization of 7550

7550 = 2 x 5 x 5 x 151

Step 2: Find the prime factorization of 7554

7554 = 2 x 3 x 1259

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7550 and 7554 is 2