Greatest Common Factor of 1566 and 1574

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 1566, 1574 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1566 and 1574 is 2.

GCF(1566,1574) = 2

GCF of 1566 and 1574

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

GCF of:
and

Greatest Common Factor of 1566 and 1574

GCF of 1566 and 1574 is 2

Prime Factorization of 1566


2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 1566 are 2,3,29. Prime factorization of 1566 in exponential form is:

1566 = 21×33×291

Prime Factorization of 1574


2 1574
787 787
1

Prime factors of 1574 are 2,787. Prime factorization of 1574 in exponential form is:

1574 = 21×7871

∴ So by taking common prime factors GCF of 1566 and 1574 is 2

Greatest Common Factor of 1566 and 1574 by matching factors method

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566

Factors of 1574

List of positive integer factors of 1574 that divides 1574 without a remainder.

1,2,787,1574

Greatest Common Factor

We found the factors and prime factorization of 1566 and 1574. The biggest common factor number is the GCF number.
So the greatest common factor 1566 and 1574 is 2.

Also check out the Least Common Multiple of 1566 and 1574

Properties of GCF 1566 and 1574

(i) The GCF of 1566 and 1574 is associative

GCF of 1566 and 1574 = GCF of 1574 and 1566

Related Greatest Common Factor of 1566

Related Greatest Common Factor of 1574

Frequently Asked Questions on GCF of 1566 and 1574

1. What is the GCF of 1566 and 1574?

Answer: GCF of 1566 and 1574 is 2.

2. What are the Factors of 1566?

Answer: Factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566. There are 16 integers that are factors of 1566. The greatest factor of 1566 is 1566.

3. What are the Factors of 1574?

Answer: Factors of 1574 are 1, 2, 787, 1574. There are 4 integers that are factors of 1574. The greatest factor of 1574 is 1574.

4. How to Find the GCF of 1566 and 1574?

Answer:

Greatest Common Factor of 1566 and 1574 = 2

Step 1: Find the prime factorization of 1566

1566 = 2 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 1574

1574 = 2 x 787

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1566 and 1574 is 2