Greatest Common Factor of 1554 and 1560

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, 1560 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1554 and 1560 is 6.

GCF(1554,1560) = 6

GCF of 1554 and 1560

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

GCF of:
and

Greatest Common Factor of 1554 and 1560

GCF of 1554 and 1560 is 6

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 1560


2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 1560 are 2,3,5,13. Prime factorization of 1560 in exponential form is:

1560 = 23×31×51×131

∴ So by taking common prime factors GCF of 1554 and 1560 is 6

Greatest Common Factor of 1554 and 1560 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 1560

List of positive integer factors of 1560 that divides 1560 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560

Greatest Common Factor

We found the factors and prime factorization of 1554 and 1560. The biggest common factor number is the GCF number.
So the greatest common factor 1554 and 1560 is 6.

Also check out the Least Common Multiple of 1554 and 1560

Properties of GCF 1554 and 1560

(i) The GCF of 1554 and 1560 is associative

GCF of 1554 and 1560 = GCF of 1560 and 1554

Related Greatest Common Factor of 1554

Related Greatest Common Factor of 1560

Frequently Asked Questions on GCF of 1554 and 1560

1. What is the GCF of 1554 and 1560?

Answer: GCF of 1554 and 1560 is 6.

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 1560?

Answer: Factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560. There are 32 integers that are factors of 1560. The greatest factor of 1560 is 1560.

4. How to Find the GCF of 1554 and 1560?

Answer:

Greatest Common Factor of 1554 and 1560 = 6

Step 1: Find the prime factorization of 1554

1554 = 2 x 3 x 7 x 37

Step 2: Find the prime factorization of 1560

1560 = 2 x 2 x 2 x 3 x 5 x 13

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 1554 and 1560 is 6