Greatest Common Factor of 8522 and 8527

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 8522, 8527 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8522 and 8527 is 1.

GCF(8522,8527) = 1

GCF of 8522 and 8527

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

GCF of:
and

Greatest Common Factor of 8522 and 8527

GCF of 8522 and 8527 is 1

Prime Factorization of 8522


2 8522
4261 4261
1

Prime factors of 8522 are 2,4261. Prime factorization of 8522 in exponential form is:

8522 = 21×42611

Prime Factorization of 8527


8527 8527
1

Prime factors of 8527 are 8527. Prime factorization of 8527 in exponential form is:

8527 = 85271

∴ So by taking common prime factors GCF of 8522 and 8527 is 1

Greatest Common Factor of 8522 and 8527 by matching factors method

Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1,2,4261,8522

Factors of 8527

List of positive integer factors of 8527 that divides 8527 without a remainder.

1,8527

Greatest Common Factor

We found the factors and prime factorization of 8522 and 8527. The biggest common factor number is the GCF number.
So the greatest common factor 8522 and 8527 is 1.

Also check out the Least Common Multiple of 8522 and 8527

Properties of GCF 8522 and 8527

(i) The GCF of 8522 and 8527 is associative

GCF of 8522 and 8527 = GCF of 8527 and 8522

Frequently Asked Questions on GCF of 8522 and 8527

1. What is the GCF of 8522 and 8527?

Answer: GCF of 8522 and 8527 is 1.

2. What are the Factors of 8522?

Answer: Factors of 8522 are 1, 2, 4261, 8522. There are 4 integers that are factors of 8522. The greatest factor of 8522 is 8522.

3. What are the Factors of 8527?

Answer: Factors of 8527 are 1, 8527. There are 2 integers that are factors of 8527. The greatest factor of 8527 is 8527.

4. How to Find the GCF of 8522 and 8527?

Answer:

Greatest Common Factor of 8522 and 8527 = 1

Step 1: Find the prime factorization of 8522

8522 = 2 x 4261

Step 2: Find the prime factorization of 8527

8527 = 8527

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 8522 and 8527 is 1