Greatest Common Factor of 3532 and 3537

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 3532, 3537 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3532 and 3537 is 1.

GCF(3532,3537) = 1

GCF of 3532 and 3537

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

GCF of:
and

Greatest Common Factor of 3532 and 3537

GCF of 3532 and 3537 is 1

Prime Factorization of 3532


2 3532
2 1766
883 883
1

Prime factors of 3532 are 2,883. Prime factorization of 3532 in exponential form is:

3532 = 22×8831

Prime Factorization of 3537


3 3537
3 1179
3 393
131 131
1

Prime factors of 3537 are 3,131. Prime factorization of 3537 in exponential form is:

3537 = 33×1311

∴ So by taking common prime factors GCF of 3532 and 3537 is 1

Greatest Common Factor of 3532 and 3537 by matching factors method

Factors of 3532

List of positive integer factors of 3532 that divides 3532 without a remainder.

1,2,4,883,1766,3532

Factors of 3537

List of positive integer factors of 3537 that divides 3537 without a remainder.

1,3,9,27,131,393,1179,3537

Greatest Common Factor

We found the factors and prime factorization of 3532 and 3537. The biggest common factor number is the GCF number.
So the greatest common factor 3532 and 3537 is 1.

Also check out the Least Common Multiple of 3532 and 3537

Properties of GCF 3532 and 3537

(i) The GCF of 3532 and 3537 is associative

GCF of 3532 and 3537 = GCF of 3537 and 3532

Related Greatest Common Factor of 3532

Related Greatest Common Factor of 3537

Frequently Asked Questions on GCF of 3532 and 3537

1. What is the GCF of 3532 and 3537?

Answer: GCF of 3532 and 3537 is 1.

2. What are the Factors of 3532?

Answer: Factors of 3532 are 1, 2, 4, 883, 1766, 3532. There are 6 integers that are factors of 3532. The greatest factor of 3532 is 3532.

3. What are the Factors of 3537?

Answer: Factors of 3537 are 1, 3, 9, 27, 131, 393, 1179, 3537. There are 8 integers that are factors of 3537. The greatest factor of 3537 is 3537.

4. How to Find the GCF of 3532 and 3537?

Answer:

Greatest Common Factor of 3532 and 3537 = 1

Step 1: Find the prime factorization of 3532

3532 = 2 x 2 x 883

Step 2: Find the prime factorization of 3537

3537 = 3 x 3 x 3 x 131

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 3532 and 3537 is 1