Greatest Common Factor of 1560 and 1564

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 1560, 1564 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1560 and 1564 is 4.

GCF(1560,1564) = 4

GCF of 1560 and 1564

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

GCF of:
and

Greatest Common Factor of 1560 and 1564

GCF of 1560 and 1564 is 4

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

Prime Factorization of 1564


2 1564
2 782
17 391
23 23
1

Prime factors of 1564 are 2,17,23. Prime factorization of 1564 in exponential form is:

1564 = 22×171×231

∴ So by taking common prime factors GCF of 1560 and 1564 is 4

Greatest Common Factor of 1560 and 1564 by matching factors method

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

Factors of 1564

List of positive integer factors of 1564 that divides 1564 without a remainder.

1,2,4,17,23,34,46,68,92,391,782,1564

Greatest Common Factor

We found the factors and prime factorization of 1560 and 1564. The biggest common factor number is the GCF number.
So the greatest common factor 1560 and 1564 is 4.

Also check out the Least Common Multiple of 1560 and 1564

Properties of GCF 1560 and 1564

(i) The GCF of 1560 and 1564 is associative

GCF of 1560 and 1564 = GCF of 1564 and 1560

Related Greatest Common Factor of 1560

Related Greatest Common Factor of 1564

Frequently Asked Questions on GCF of 1560 and 1564

1. What is the GCF of 1560 and 1564?

Answer: GCF of 1560 and 1564 is 4.

2. 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.

3. What are the Factors of 1564?

Answer: Factors of 1564 are 1, 2, 4, 17, 23, 34, 46, 68, 92, 391, 782, 1564. There are 12 integers that are factors of 1564. The greatest factor of 1564 is 1564.

4. How to Find the GCF of 1560 and 1564?

Answer:

Greatest Common Factor of 1560 and 1564 = 4

Step 1: Find the prime factorization of 1560

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

Step 2: Find the prime factorization of 1564

1564 = 2 x 2 x 17 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1560 and 1564 is 4