Greatest Common Factor of 3525 and 3527

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 3525, 3527 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3525 and 3527 is 1.

GCF(3525,3527) = 1

GCF of 3525 and 3527

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

GCF of:
and

Greatest Common Factor of 3525 and 3527

GCF of 3525 and 3527 is 1

Prime Factorization of 3525


3 3525
5 1175
5 235
47 47
1

Prime factors of 3525 are 3,5,47. Prime factorization of 3525 in exponential form is:

3525 = 31×52×471

Prime Factorization of 3527


3527 3527
1

Prime factors of 3527 are 3527. Prime factorization of 3527 in exponential form is:

3527 = 35271

∴ So by taking common prime factors GCF of 3525 and 3527 is 1

Greatest Common Factor of 3525 and 3527 by matching factors method

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Factors of 3527

List of positive integer factors of 3527 that divides 3527 without a remainder.

1,3527

Greatest Common Factor

We found the factors and prime factorization of 3525 and 3527. The biggest common factor number is the GCF number.
So the greatest common factor 3525 and 3527 is 1.

Also check out the Least Common Multiple of 3525 and 3527

Properties of GCF 3525 and 3527

(i) The GCF of 3525 and 3527 is associative

GCF of 3525 and 3527 = GCF of 3527 and 3525

Related Greatest Common Factor of 3525

Related Greatest Common Factor of 3527

Frequently Asked Questions on GCF of 3525 and 3527

1. What is the GCF of 3525 and 3527?

Answer: GCF of 3525 and 3527 is 1.

2. What are the Factors of 3525?

Answer: Factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525. There are 12 integers that are factors of 3525. The greatest factor of 3525 is 3525.

3. What are the Factors of 3527?

Answer: Factors of 3527 are 1, 3527. There are 2 integers that are factors of 3527. The greatest factor of 3527 is 3527.

4. How to Find the GCF of 3525 and 3527?

Answer:

Greatest Common Factor of 3525 and 3527 = 1

Step 1: Find the prime factorization of 3525

3525 = 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 3527

3527 = 3527

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 3525 and 3527 is 1