Greatest Common Factor of 1564 and 1572

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, 1572 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1564 and 1572 is 4.

GCF(1564,1572) = 4

GCF of 1564 and 1572

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

GCF of:
and

Greatest Common Factor of 1564 and 1572

GCF of 1564 and 1572 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 1572


2 1572
2 786
3 393
131 131
1

Prime factors of 1572 are 2,3,131. Prime factorization of 1572 in exponential form is:

1572 = 22×31×1311

∴ So by taking common prime factors GCF of 1564 and 1572 is 4

Greatest Common Factor of 1564 and 1572 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 1572

List of positive integer factors of 1572 that divides 1572 without a remainder.

1,2,3,4,6,12,131,262,393,524,786,1572

Greatest Common Factor

We found the factors and prime factorization of 1564 and 1572. The biggest common factor number is the GCF number.
So the greatest common factor 1564 and 1572 is 4.

Also check out the Least Common Multiple of 1564 and 1572

Properties of GCF 1564 and 1572

(i) The GCF of 1564 and 1572 is associative

GCF of 1564 and 1572 = GCF of 1572 and 1564

Related Greatest Common Factor of 1564

Related Greatest Common Factor of 1572

Frequently Asked Questions on GCF of 1564 and 1572

1. What is the GCF of 1564 and 1572?

Answer: GCF of 1564 and 1572 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 1572?

Answer: Factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572. There are 12 integers that are factors of 1572. The greatest factor of 1572 is 1572.

4. How to Find the GCF of 1564 and 1572?

Answer:

Greatest Common Factor of 1564 and 1572 = 4

Step 1: Find the prime factorization of 1564

1564 = 2 x 2 x 17 x 23

Step 2: Find the prime factorization of 1572

1572 = 2 x 2 x 3 x 131

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 1572 is 4