Greatest Common Factor of 565 and 567

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 565, 567 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 565 and 567 is 1.

GCF(565,567) = 1

GCF of 565 and 567

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

GCF of:
and

Greatest Common Factor of 565 and 567

GCF of 565 and 567 is 1

Prime Factorization of 565


5 565
113 113
1

Prime factors of 565 are 5,113. Prime factorization of 565 in exponential form is:

565 = 51×1131

Prime Factorization of 567


3 567
3 189
3 63
3 21
7 7
1

Prime factors of 567 are 3,7. Prime factorization of 567 in exponential form is:

567 = 34×71

∴ So by taking common prime factors GCF of 565 and 567 is 1

Greatest Common Factor of 565 and 567 by matching factors method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors and prime factorization of 565 and 567. The biggest common factor number is the GCF number.
So the greatest common factor 565 and 567 is 1.

Also check out the Least Common Multiple of 565 and 567

Properties of GCF 565 and 567

(i) The GCF of 565 and 567 is associative

GCF of 565 and 567 = GCF of 567 and 565

Related Greatest Common Factor of 565

Related Greatest Common Factor of 567

Frequently Asked Questions on GCF of 565 and 567

1. What is the GCF of 565 and 567?

Answer: GCF of 565 and 567 is 1.

2. What are the Factors of 565?

Answer: Factors of 565 are 1, 5, 113, 565. There are 4 integers that are factors of 565. The greatest factor of 565 is 565.

3. What are the Factors of 567?

Answer: Factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. There are 10 integers that are factors of 567. The greatest factor of 567 is 567.

4. How to Find the GCF of 565 and 567?

Answer:

Greatest Common Factor of 565 and 567 = 1

Step 1: Find the prime factorization of 565

565 = 5 x 113

Step 2: Find the prime factorization of 567

567 = 3 x 3 x 3 x 3 x 7

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 565 and 567 is 1