Greatest Common Factor of 8525 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 8525, 8527 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8525 and 8527 is 1.

GCF(8525,8527) = 1

GCF of 8525 and 8527

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

GCF of:
and

Greatest Common Factor of 8525 and 8527

GCF of 8525 and 8527 is 1

Prime Factorization of 8525


5 8525
5 1705
11 341
31 31
1

Prime factors of 8525 are 5,11,31. Prime factorization of 8525 in exponential form is:

8525 = 52×111×311

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 8525 and 8527 is 1

Greatest Common Factor of 8525 and 8527 by matching factors method

Factors of 8525

List of positive integer factors of 8525 that divides 8525 without a remainder.

1,5,11,25,31,55,155,275,341,775,1705,8525

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 8525 and 8527. The biggest common factor number is the GCF number.
So the greatest common factor 8525 and 8527 is 1.

Also check out the Least Common Multiple of 8525 and 8527

Properties of GCF 8525 and 8527

(i) The GCF of 8525 and 8527 is associative

GCF of 8525 and 8527 = GCF of 8527 and 8525

Related Greatest Common Factor of 8525

Related Greatest Common Factor of 8527

Frequently Asked Questions on GCF of 8525 and 8527

1. What is the GCF of 8525 and 8527?

Answer: GCF of 8525 and 8527 is 1.

2. What are the Factors of 8525?

Answer: Factors of 8525 are 1, 5, 11, 25, 31, 55, 155, 275, 341, 775, 1705, 8525. There are 12 integers that are factors of 8525. The greatest factor of 8525 is 8525.

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 8525 and 8527?

Answer:

Greatest Common Factor of 8525 and 8527 = 1

Step 1: Find the prime factorization of 8525

8525 = 5 x 5 x 11 x 31

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 8525 and 8527 is 1