Greatest Common Factor of 1564 and 1568

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 1564, 1568 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1564 and 1568 is 4.

GCF(1564,1568) = 4

GCF of 1564 and 1568

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

GCF of:
and

Greatest Common Factor of 1564 and 1568

GCF of 1564 and 1568 is 4

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

Prime Factorization of 1568


2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 1568 are 2,7. Prime factorization of 1568 in exponential form is:

1568 = 25×72

∴ So by taking common prime factors GCF of 1564 and 1568 is 4

Greatest Common Factor of 1564 and 1568 by matching factors method

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

Factors of 1568

List of positive integer factors of 1568 that divides 1568 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568

Greatest Common Factor

We found the factors and prime factorization of 1564 and 1568. The biggest common factor number is the GCF number.
So the greatest common factor 1564 and 1568 is 4.

Also check out the Least Common Multiple of 1564 and 1568

Properties of GCF 1564 and 1568

(i) The GCF of 1564 and 1568 is associative

GCF of 1564 and 1568 = GCF of 1568 and 1564

Related Greatest Common Factor of 1564

Related Greatest Common Factor of 1568

Frequently Asked Questions on GCF of 1564 and 1568

1. What is the GCF of 1564 and 1568?

Answer: GCF of 1564 and 1568 is 4.

2. 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.

3. What are the Factors of 1568?

Answer: Factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568. There are 18 integers that are factors of 1568. The greatest factor of 1568 is 1568.

4. How to Find the GCF of 1564 and 1568?

Answer:

Greatest Common Factor of 1564 and 1568 = 4

Step 1: Find the prime factorization of 1564

1564 = 2 x 2 x 17 x 23

Step 2: Find the prime factorization of 1568

1568 = 2 x 2 x 2 x 2 x 2 x 7 x 7

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 1564 and 1568 is 4