Greatest Common Factor of 1547 and 1554

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 1547, 1554 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1547 and 1554 is 7.

GCF(1547,1554) = 7

GCF of 1547 and 1554

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

GCF of:
and

Greatest Common Factor of 1547 and 1554

GCF of 1547 and 1554 is 7

Prime Factorization of 1547


7 1547
13 221
17 17
1

Prime factors of 1547 are 7,13,17. Prime factorization of 1547 in exponential form is:

1547 = 71×131×171

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

∴ So by taking common prime factors GCF of 1547 and 1554 is 7

Greatest Common Factor of 1547 and 1554 by matching factors method

Factors of 1547

List of positive integer factors of 1547 that divides 1547 without a remainder.

1,7,13,17,91,119,221,1547

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

Greatest Common Factor

We found the factors and prime factorization of 1547 and 1554. The biggest common factor number is the GCF number.
So the greatest common factor 1547 and 1554 is 7.

Also check out the Least Common Multiple of 1547 and 1554

Properties of GCF 1547 and 1554

(i) The GCF of 1547 and 1554 is associative

GCF of 1547 and 1554 = GCF of 1554 and 1547

Related Greatest Common Factor of 1547

Related Greatest Common Factor of 1554

Frequently Asked Questions on GCF of 1547 and 1554

1. What is the GCF of 1547 and 1554?

Answer: GCF of 1547 and 1554 is 7.

2. What are the Factors of 1547?

Answer: Factors of 1547 are 1, 7, 13, 17, 91, 119, 221, 1547. There are 8 integers that are factors of 1547. The greatest factor of 1547 is 1547.

3. 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.

4. How to Find the GCF of 1547 and 1554?

Answer:

Greatest Common Factor of 1547 and 1554 = 7

Step 1: Find the prime factorization of 1547

1547 = 7 x 13 x 17

Step 2: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

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 1547 and 1554 is 7