Greatest Common Factor of 5625 and 5632

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, 5632 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5625 and 5632 is 1.

GCF(5625,5632) = 1

GCF of 5625 and 5632

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

GCF of:
and

Greatest Common Factor of 5625 and 5632

GCF of 5625 and 5632 is 1

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 5632


2 5632
2 2816
2 1408
2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 5632 are 2,11. Prime factorization of 5632 in exponential form is:

5632 = 29×111

∴ So by taking common prime factors GCF of 5625 and 5632 is 1

Greatest Common Factor of 5625 and 5632 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 5632

List of positive integer factors of 5632 that divides 5632 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632

Greatest Common Factor

We found the factors and prime factorization of 5625 and 5632. The biggest common factor number is the GCF number.
So the greatest common factor 5625 and 5632 is 1.

Also check out the Least Common Multiple of 5625 and 5632

Properties of GCF 5625 and 5632

(i) The GCF of 5625 and 5632 is associative

GCF of 5625 and 5632 = GCF of 5632 and 5625

Related Greatest Common Factor of 5625

Related Greatest Common Factor of 5632

Frequently Asked Questions on GCF of 5625 and 5632

1. What is the GCF of 5625 and 5632?

Answer: GCF of 5625 and 5632 is 1.

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 5632?

Answer: Factors of 5632 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632. There are 20 integers that are factors of 5632. The greatest factor of 5632 is 5632.

4. How to Find the GCF of 5625 and 5632?

Answer:

Greatest Common Factor of 5625 and 5632 = 1

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 5632

5632 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11

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 5625 and 5632 is 1