Greatest Common Factor of 1553 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 1553, 1561 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1553 and 1561 is 1.

GCF(1553,1561) = 1

GCF of 1553 and 1561

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

GCF of:
and

Greatest Common Factor of 1553 and 1561

GCF of 1553 and 1561 is 1

Prime Factorization of 1553


1553 1553
1

Prime factors of 1553 are 1553. Prime factorization of 1553 in exponential form is:

1553 = 15531

Prime Factorization of 1561


7 1561
223 223
1

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

1561 = 71×2231

∴ So by taking common prime factors GCF of 1553 and 1561 is 1

Greatest Common Factor of 1553 and 1561 by matching factors method

Factors of 1553

List of positive integer factors of 1553 that divides 1553 without a remainder.

1,1553

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 1553 and 1561. The biggest common factor number is the GCF number.
So the greatest common factor 1553 and 1561 is 1.

Also check out the Least Common Multiple of 1553 and 1561

Properties of GCF 1553 and 1561

(i) The GCF of 1553 and 1561 is associative

GCF of 1553 and 1561 = GCF of 1561 and 1553

Related Greatest Common Factor of 1553

Related Greatest Common Factor of 1561

Frequently Asked Questions on GCF of 1553 and 1561

1. What is the GCF of 1553 and 1561?

Answer: GCF of 1553 and 1561 is 1.

2. What are the Factors of 1553?

Answer: Factors of 1553 are 1, 1553. There are 2 integers that are factors of 1553. The greatest factor of 1553 is 1553.

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 1553 and 1561?

Answer:

Greatest Common Factor of 1553 and 1561 = 1

Step 1: Find the prime factorization of 1553

1553 = 1553

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 1553 and 1561 is 1