Greatest Common Factor of 5625 and 5630

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 5625, 5630 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5625 and 5630 is 5.

GCF(5625,5630) = 5

GCF of 5625 and 5630

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

GCF of:
and

Greatest Common Factor of 5625 and 5630

GCF of 5625 and 5630 is 5

Prime Factorization of 5625


3 5625
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 5625 are 3,5. Prime factorization of 5625 in exponential form is:

5625 = 32×54

Prime Factorization of 5630


2 5630
5 2815
563 563
1

Prime factors of 5630 are 2,5,563. Prime factorization of 5630 in exponential form is:

5630 = 21×51×5631

∴ So by taking common prime factors GCF of 5625 and 5630 is 5

Greatest Common Factor of 5625 and 5630 by matching factors method

Factors of 5625

List of positive integer factors of 5625 that divides 5625 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625

Factors of 5630

List of positive integer factors of 5630 that divides 5630 without a remainder.

1,2,5,10,563,1126,2815,5630

Greatest Common Factor

We found the factors and prime factorization of 5625 and 5630. The biggest common factor number is the GCF number.
So the greatest common factor 5625 and 5630 is 5.

Also check out the Least Common Multiple of 5625 and 5630

Properties of GCF 5625 and 5630

(i) The GCF of 5625 and 5630 is associative

GCF of 5625 and 5630 = GCF of 5630 and 5625

Related Greatest Common Factor of 5625

Related Greatest Common Factor of 5630

Frequently Asked Questions on GCF of 5625 and 5630

1. What is the GCF of 5625 and 5630?

Answer: GCF of 5625 and 5630 is 5.

2. What are the Factors of 5625?

Answer: Factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. There are 15 integers that are factors of 5625. The greatest factor of 5625 is 5625.

3. What are the Factors of 5630?

Answer: Factors of 5630 are 1, 2, 5, 10, 563, 1126, 2815, 5630. There are 8 integers that are factors of 5630. The greatest factor of 5630 is 5630.

4. How to Find the GCF of 5625 and 5630?

Answer:

Greatest Common Factor of 5625 and 5630 = 5

Step 1: Find the prime factorization of 5625

5625 = 3 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 5630

5630 = 2 x 5 x 563

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5625 and 5630 is 5