Greatest Common Factor of 1557 and 1561

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 1557, 1561 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1557 and 1561 is 1.

GCF(1557,1561) = 1

GCF of 1557 and 1561

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

GCF of:
and

Greatest Common Factor of 1557 and 1561

GCF of 1557 and 1561 is 1

Prime Factorization of 1557


3 1557
3 519
173 173
1

Prime factors of 1557 are 3,173. Prime factorization of 1557 in exponential form is:

1557 = 32×1731

Prime Factorization of 1561


7 1561
223 223
1

Prime factors of 1561 are 7,223. Prime factorization of 1561 in exponential form is:

1561 = 71×2231

∴ So by taking common prime factors GCF of 1557 and 1561 is 1

Greatest Common Factor of 1557 and 1561 by matching factors method

Factors of 1557

List of positive integer factors of 1557 that divides 1557 without a remainder.

1,3,9,173,519,1557

Factors of 1561

List of positive integer factors of 1561 that divides 1561 without a remainder.

1,7,223,1561

Greatest Common Factor

We found the factors and prime factorization of 1557 and 1561. The biggest common factor number is the GCF number.
So the greatest common factor 1557 and 1561 is 1.

Also check out the Least Common Multiple of 1557 and 1561

Properties of GCF 1557 and 1561

(i) The GCF of 1557 and 1561 is associative

GCF of 1557 and 1561 = GCF of 1561 and 1557

Related Greatest Common Factor of 1557

Related Greatest Common Factor of 1561

Frequently Asked Questions on GCF of 1557 and 1561

1. What is the GCF of 1557 and 1561?

Answer: GCF of 1557 and 1561 is 1.

2. What are the Factors of 1557?

Answer: Factors of 1557 are 1, 3, 9, 173, 519, 1557. There are 6 integers that are factors of 1557. The greatest factor of 1557 is 1557.

3. What are the Factors of 1561?

Answer: Factors of 1561 are 1, 7, 223, 1561. There are 4 integers that are factors of 1561. The greatest factor of 1561 is 1561.

4. How to Find the GCF of 1557 and 1561?

Answer:

Greatest Common Factor of 1557 and 1561 = 1

Step 1: Find the prime factorization of 1557

1557 = 3 x 3 x 173

Step 2: Find the prime factorization of 1561

1561 = 7 x 223

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 1557 and 1561 is 1