Greatest Common Factor of 7565 and 7571

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 7565, 7571 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7565 and 7571 is 1.

GCF(7565,7571) = 1

GCF of 7565 and 7571

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

GCF of:
and

Greatest Common Factor of 7565 and 7571

GCF of 7565 and 7571 is 1

Prime Factorization of 7565


5 7565
17 1513
89 89
1

Prime factors of 7565 are 5,17,89. Prime factorization of 7565 in exponential form is:

7565 = 51×171×891

Prime Factorization of 7571


67 7571
113 113
1

Prime factors of 7571 are 67,113. Prime factorization of 7571 in exponential form is:

7571 = 671×1131

∴ So by taking common prime factors GCF of 7565 and 7571 is 1

Greatest Common Factor of 7565 and 7571 by matching factors method

Factors of 7565

List of positive integer factors of 7565 that divides 7565 without a remainder.

1,5,17,85,89,445,1513,7565

Factors of 7571

List of positive integer factors of 7571 that divides 7571 without a remainder.

1,67,113,7571

Greatest Common Factor

We found the factors and prime factorization of 7565 and 7571. The biggest common factor number is the GCF number.
So the greatest common factor 7565 and 7571 is 1.

Also check out the Least Common Multiple of 7565 and 7571

Properties of GCF 7565 and 7571

(i) The GCF of 7565 and 7571 is associative

GCF of 7565 and 7571 = GCF of 7571 and 7565

Related Greatest Common Factor of 7565

Related Greatest Common Factor of 7571

Frequently Asked Questions on GCF of 7565 and 7571

1. What is the GCF of 7565 and 7571?

Answer: GCF of 7565 and 7571 is 1.

2. What are the Factors of 7565?

Answer: Factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565. There are 8 integers that are factors of 7565. The greatest factor of 7565 is 7565.

3. What are the Factors of 7571?

Answer: Factors of 7571 are 1, 67, 113, 7571. There are 4 integers that are factors of 7571. The greatest factor of 7571 is 7571.

4. How to Find the GCF of 7565 and 7571?

Answer:

Greatest Common Factor of 7565 and 7571 = 1

Step 1: Find the prime factorization of 7565

7565 = 5 x 17 x 89

Step 2: Find the prime factorization of 7571

7571 = 67 x 113

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 7565 and 7571 is 1