Greatest Common Factor of 5535 and 5537

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 5535, 5537 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5535 and 5537 is 1.

GCF(5535,5537) = 1

GCF of 5535 and 5537

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

GCF of:
and

Greatest Common Factor of 5535 and 5537

GCF of 5535 and 5537 is 1

Prime Factorization of 5535


3 5535
3 1845
3 615
5 205
41 41
1

Prime factors of 5535 are 3,5,41. Prime factorization of 5535 in exponential form is:

5535 = 33×51×411

Prime Factorization of 5537


7 5537
7 791
113 113
1

Prime factors of 5537 are 7,113. Prime factorization of 5537 in exponential form is:

5537 = 72×1131

∴ So by taking common prime factors GCF of 5535 and 5537 is 1

Greatest Common Factor of 5535 and 5537 by matching factors method

Factors of 5535

List of positive integer factors of 5535 that divides 5535 without a remainder.

1,3,5,9,15,27,41,45,123,135,205,369,615,1107,1845,5535

Factors of 5537

List of positive integer factors of 5537 that divides 5537 without a remainder.

1,7,49,113,791,5537

Greatest Common Factor

We found the factors and prime factorization of 5535 and 5537. The biggest common factor number is the GCF number.
So the greatest common factor 5535 and 5537 is 1.

Also check out the Least Common Multiple of 5535 and 5537

Properties of GCF 5535 and 5537

(i) The GCF of 5535 and 5537 is associative

GCF of 5535 and 5537 = GCF of 5537 and 5535

Frequently Asked Questions on GCF of 5535 and 5537

1. What is the GCF of 5535 and 5537?

Answer: GCF of 5535 and 5537 is 1.

2. What are the Factors of 5535?

Answer: Factors of 5535 are 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535. There are 16 integers that are factors of 5535. The greatest factor of 5535 is 5535.

3. What are the Factors of 5537?

Answer: Factors of 5537 are 1, 7, 49, 113, 791, 5537. There are 6 integers that are factors of 5537. The greatest factor of 5537 is 5537.

4. How to Find the GCF of 5535 and 5537?

Answer:

Greatest Common Factor of 5535 and 5537 = 1

Step 1: Find the prime factorization of 5535

5535 = 3 x 3 x 3 x 5 x 41

Step 2: Find the prime factorization of 5537

5537 = 7 x 7 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 5535 and 5537 is 1