Greatest Common Factor of 5624 and 5627

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, 5627 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5624 and 5627 is 1.

GCF(5624,5627) = 1

GCF of 5624 and 5627

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

GCF of:
and

Greatest Common Factor of 5624 and 5627

GCF of 5624 and 5627 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 5627


17 5627
331 331
1

Prime factors of 5627 are 17,331. Prime factorization of 5627 in exponential form is:

5627 = 171×3311

∴ So by taking common prime factors GCF of 5624 and 5627 is 1

Greatest Common Factor of 5624 and 5627 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 5627

List of positive integer factors of 5627 that divides 5627 without a remainder.

1,17,331,5627

Greatest Common Factor

We found the factors and prime factorization of 5624 and 5627. The biggest common factor number is the GCF number.
So the greatest common factor 5624 and 5627 is 1.

Also check out the Least Common Multiple of 5624 and 5627

Properties of GCF 5624 and 5627

(i) The GCF of 5624 and 5627 is associative

GCF of 5624 and 5627 = GCF of 5627 and 5624

Related Greatest Common Factor of 5624

Related Greatest Common Factor of 5627

Frequently Asked Questions on GCF of 5624 and 5627

1. What is the GCF of 5624 and 5627?

Answer: GCF of 5624 and 5627 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 5627?

Answer: Factors of 5627 are 1, 17, 331, 5627. There are 4 integers that are factors of 5627. The greatest factor of 5627 is 5627.

4. How to Find the GCF of 5624 and 5627?

Answer:

Greatest Common Factor of 5624 and 5627 = 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 5627

5627 = 17 x 331

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 5627 is 1