Greatest Common Factor of 5624 and 5625

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 5624, 5625 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5624 and 5625 is 1.

GCF(5624,5625) = 1

GCF of 5624 and 5625

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

GCF of:
and

Greatest Common Factor of 5624 and 5625

GCF of 5624 and 5625 is 1

Prime Factorization of 5624


2 5624
2 2812
2 1406
19 703
37 37
1

Prime factors of 5624 are 2,19,37. Prime factorization of 5624 in exponential form is:

5624 = 23×191×371

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

∴ So by taking common prime factors GCF of 5624 and 5625 is 1

Greatest Common Factor of 5624 and 5625 by matching factors method

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

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

Greatest Common Factor

We found the factors and prime factorization of 5624 and 5625. The biggest common factor number is the GCF number.
So the greatest common factor 5624 and 5625 is 1.

Also check out the Least Common Multiple of 5624 and 5625

Properties of GCF 5624 and 5625

(i) The GCF of 5624 and 5625 is associative

GCF of 5624 and 5625 = GCF of 5625 and 5624

Related Greatest Common Factor of 5624

Related Greatest Common Factor of 5625

Frequently Asked Questions on GCF of 5624 and 5625

1. What is the GCF of 5624 and 5625?

Answer: GCF of 5624 and 5625 is 1.

2. What are the Factors of 5624?

Answer: Factors of 5624 are 1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812, 5624. There are 16 integers that are factors of 5624. The greatest factor of 5624 is 5624.

3. 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.

4. How to Find the GCF of 5624 and 5625?

Answer:

Greatest Common Factor of 5624 and 5625 = 1

Step 1: Find the prime factorization of 5624

5624 = 2 x 2 x 2 x 19 x 37

Step 2: Find the prime factorization of 5625

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

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 5624 and 5625 is 1