Greatest Common Factor of 1550 and 1555

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 1550, 1555 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1550 and 1555 is 5.

GCF(1550,1555) = 5

GCF of 1550 and 1555

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

GCF of:
and

Greatest Common Factor of 1550 and 1555

GCF of 1550 and 1555 is 5

Prime Factorization of 1550


2 1550
5 775
5 155
31 31
1

Prime factors of 1550 are 2,5,31. Prime factorization of 1550 in exponential form is:

1550 = 21×52×311

Prime Factorization of 1555


5 1555
311 311
1

Prime factors of 1555 are 5,311. Prime factorization of 1555 in exponential form is:

1555 = 51×3111

∴ So by taking common prime factors GCF of 1550 and 1555 is 5

Greatest Common Factor of 1550 and 1555 by matching factors method

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

Factors of 1555

List of positive integer factors of 1555 that divides 1555 without a remainder.

1,5,311,1555

Greatest Common Factor

We found the factors and prime factorization of 1550 and 1555. The biggest common factor number is the GCF number.
So the greatest common factor 1550 and 1555 is 5.

Also check out the Least Common Multiple of 1550 and 1555

Properties of GCF 1550 and 1555

(i) The GCF of 1550 and 1555 is associative

GCF of 1550 and 1555 = GCF of 1555 and 1550

Related Greatest Common Factor of 1550

Related Greatest Common Factor of 1555

Frequently Asked Questions on GCF of 1550 and 1555

1. What is the GCF of 1550 and 1555?

Answer: GCF of 1550 and 1555 is 5.

2. 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.

3. What are the Factors of 1555?

Answer: Factors of 1555 are 1, 5, 311, 1555. There are 4 integers that are factors of 1555. The greatest factor of 1555 is 1555.

4. How to Find the GCF of 1550 and 1555?

Answer:

Greatest Common Factor of 1550 and 1555 = 5

Step 1: Find the prime factorization of 1550

1550 = 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 1555

1555 = 5 x 311

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 1550 and 1555 is 5