Greatest Common Factor of 1565 and 1570

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 1565, 1570 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1565 and 1570 is 5.

GCF(1565,1570) = 5

GCF of 1565 and 1570

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

GCF of:
and

Greatest Common Factor of 1565 and 1570

GCF of 1565 and 1570 is 5

Prime Factorization of 1565


5 1565
313 313
1

Prime factors of 1565 are 5,313. Prime factorization of 1565 in exponential form is:

1565 = 51×3131

Prime Factorization of 1570


2 1570
5 785
157 157
1

Prime factors of 1570 are 2,5,157. Prime factorization of 1570 in exponential form is:

1570 = 21×51×1571

∴ So by taking common prime factors GCF of 1565 and 1570 is 5

Greatest Common Factor of 1565 and 1570 by matching factors method

Factors of 1565

List of positive integer factors of 1565 that divides 1565 without a remainder.

1,5,313,1565

Factors of 1570

List of positive integer factors of 1570 that divides 1570 without a remainder.

1,2,5,10,157,314,785,1570

Greatest Common Factor

We found the factors and prime factorization of 1565 and 1570. The biggest common factor number is the GCF number.
So the greatest common factor 1565 and 1570 is 5.

Also check out the Least Common Multiple of 1565 and 1570

Properties of GCF 1565 and 1570

(i) The GCF of 1565 and 1570 is associative

GCF of 1565 and 1570 = GCF of 1570 and 1565

Related Greatest Common Factor of 1565

Related Greatest Common Factor of 1570

Frequently Asked Questions on GCF of 1565 and 1570

1. What is the GCF of 1565 and 1570?

Answer: GCF of 1565 and 1570 is 5.

2. What are the Factors of 1565?

Answer: Factors of 1565 are 1, 5, 313, 1565. There are 4 integers that are factors of 1565. The greatest factor of 1565 is 1565.

3. What are the Factors of 1570?

Answer: Factors of 1570 are 1, 2, 5, 10, 157, 314, 785, 1570. There are 8 integers that are factors of 1570. The greatest factor of 1570 is 1570.

4. How to Find the GCF of 1565 and 1570?

Answer:

Greatest Common Factor of 1565 and 1570 = 5

Step 1: Find the prime factorization of 1565

1565 = 5 x 313

Step 2: Find the prime factorization of 1570

1570 = 2 x 5 x 157

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1565 and 1570 is 5