Greatest Common Factor of 1554 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 1554, 1561 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1554 and 1561 is 7.

GCF(1554,1561) = 7

GCF of 1554 and 1561

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

GCF of:
and

Greatest Common Factor of 1554 and 1561

GCF of 1554 and 1561 is 7

Prime Factorization of 1554


2 1554
3 777
7 259
37 37
1

Prime factors of 1554 are 2,3,7,37. Prime factorization of 1554 in exponential form is:

1554 = 21×31×71×371

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 1554 and 1561 is 7

Greatest Common Factor of 1554 and 1561 by matching factors method

Factors of 1554

List of positive integer factors of 1554 that divides 1554 without a remainder.

1,2,3,6,7,14,21,37,42,74,111,222,259,518,777,1554

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 1554 and 1561. The biggest common factor number is the GCF number.
So the greatest common factor 1554 and 1561 is 7.

Also check out the Least Common Multiple of 1554 and 1561

Properties of GCF 1554 and 1561

(i) The GCF of 1554 and 1561 is associative

GCF of 1554 and 1561 = GCF of 1561 and 1554

Related Greatest Common Factor of 1554

Related Greatest Common Factor of 1561

Frequently Asked Questions on GCF of 1554 and 1561

1. What is the GCF of 1554 and 1561?

Answer: GCF of 1554 and 1561 is 7.

2. What are the Factors of 1554?

Answer: Factors of 1554 are 1, 2, 3, 6, 7, 14, 21, 37, 42, 74, 111, 222, 259, 518, 777, 1554. There are 16 integers that are factors of 1554. The greatest factor of 1554 is 1554.

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 1554 and 1561?

Answer:

Greatest Common Factor of 1554 and 1561 = 7

Step 1: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

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 = 7

Step 4: Therefore, the greatest common factor of 1554 and 1561 is 7