Greatest Common Factor of 1548 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 1548, 1554 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1548 and 1554 is 6.

GCF(1548,1554) = 6

GCF of 1548 and 1554

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

GCF of:
and

Greatest Common Factor of 1548 and 1554

GCF of 1548 and 1554 is 6

Prime Factorization of 1548


2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 1548 are 2,3,43. Prime factorization of 1548 in exponential form is:

1548 = 22×32×431

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 1548 and 1554 is 6

Greatest Common Factor of 1548 and 1554 by matching factors method

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

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 1548 and 1554. The biggest common factor number is the GCF number.
So the greatest common factor 1548 and 1554 is 6.

Also check out the Least Common Multiple of 1548 and 1554

Properties of GCF 1548 and 1554

(i) The GCF of 1548 and 1554 is associative

GCF of 1548 and 1554 = GCF of 1554 and 1548

Related Greatest Common Factor of 1548

Related Greatest Common Factor of 1554

Frequently Asked Questions on GCF of 1548 and 1554

1. What is the GCF of 1548 and 1554?

Answer: GCF of 1548 and 1554 is 6.

2. What are the Factors of 1548?

Answer: Factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548. There are 18 integers that are factors of 1548. The greatest factor of 1548 is 1548.

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 1548 and 1554?

Answer:

Greatest Common Factor of 1548 and 1554 = 6

Step 1: Find the prime factorization of 1548

1548 = 2 x 2 x 3 x 3 x 43

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1548 and 1554 is 6