Greatest Common Factor of 1543 and 1550

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 1543, 1550 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1543 and 1550 is 1.

GCF(1543,1550) = 1

GCF of 1543 and 1550

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

GCF of:
and

Greatest Common Factor of 1543 and 1550

GCF of 1543 and 1550 is 1

Prime Factorization of 1543


1543 1543
1

Prime factors of 1543 are 1543. Prime factorization of 1543 in exponential form is:

1543 = 15431

Prime Factorization of 1550


2 1550
5 775
5 155
31 31
1

Prime factors of 1550 are 2.Prime factorization of 1550 in exponential form is:

1550 = 21×52×311

∴ So by taking common prime factors GCF of 1543 and 1550 is 1

Greatest Common Factor of 1543 and 1550 by matching factors method

Factors of 1543

List of positive integer factors of 1543 that divides 1543 without a remainder.

1,1543

Factors of 1550

List of positive integer factors of 1550 that divides 1550 without a remainder.

1,2,5,10,25,31,50,62,155,310,775,1550

Greatest Common Factor

We found the factors and prime factorization of 1543 and 1550. The biggest common factor number is the GCF number.
So the greatest common factor 1543 and 1550 is 1.

Also check out the Least Common Multiple of 1543 and 1550

Properties of GCF 1543 and 1550

(i) The GCF of 1543 and 1550 is associative

GCF of 1543 and 1550 = GCF of 1550 and 1543

Related Greatest Common Factor of 1543

Related Greatest Common Factor of 1550

Frequently Asked Questions on GCF of 1543 and 1550

1. What is the GCF of 1543 and 1550?

Answer: GCF of 1543 and 1550 is 1.

2. What are the Factors of 1543?

Answer: Factors of 1543 are 1, 1543. There are 2 integers that are factors of 1543. The greatest factor of 1543 is 1543.

3. What are the Factors of 1550?

Answer: Factors of 1550 are 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550. There are 12 integers that are factors of 1550. The greatest factor of 1550 is 1550.

4. How to Find the GCF of 1543 and 1550?

Answer:

Greatest Common Factor of 1543 and 1550 = 1

Step 1: Find the prime factorization of 1543

1543 = 1543

Step 2: Find the prime factorization of 1550

1550 = 2 x 5 x 5 x 31

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 1543 and 1550 is 1