Greatest Common Factor of 5537 and 5544

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 5537, 5544 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5537 and 5544 is 7.

GCF(5537,5544) = 7

GCF of 5537 and 5544

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

GCF of:
and

Greatest Common Factor of 5537 and 5544

GCF of 5537 and 5544 is 7

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

Prime Factorization of 5544


2 5544
2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 5544 are 2,3,7,11. Prime factorization of 5544 in exponential form is:

5544 = 23×32×71×111

∴ So by taking common prime factors GCF of 5537 and 5544 is 7

Greatest Common Factor of 5537 and 5544 by matching factors method

Factors of 5537

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

1,7,49,113,791,5537

Factors of 5544

List of positive integer factors of 5544 that divides 5544 without a remainder.

1,2,3,4,6,7,8,9,11,12,14,18,21,22,24,28,33,36,42,44,56,63,66,72,77,84,88,99,126,132,154,168,198,231,252,264,308,396,462,504,616,693,792,924,1386,1848,2772,5544

Greatest Common Factor

We found the factors and prime factorization of 5537 and 5544. The biggest common factor number is the GCF number.
So the greatest common factor 5537 and 5544 is 7.

Also check out the Least Common Multiple of 5537 and 5544

Properties of GCF 5537 and 5544

(i) The GCF of 5537 and 5544 is associative

GCF of 5537 and 5544 = GCF of 5544 and 5537

Related Greatest Common Factor of 5537

Related Greatest Common Factor of 5544

Frequently Asked Questions on GCF of 5537 and 5544

1. What is the GCF of 5537 and 5544?

Answer: GCF of 5537 and 5544 is 7.

2. 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.

3. What are the Factors of 5544?

Answer: Factors of 5544 are 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 18, 21, 22, 24, 28, 33, 36, 42, 44, 56, 63, 66, 72, 77, 84, 88, 99, 126, 132, 154, 168, 198, 231, 252, 264, 308, 396, 462, 504, 616, 693, 792, 924, 1386, 1848, 2772, 5544. There are 48 integers that are factors of 5544. The greatest factor of 5544 is 5544.

4. How to Find the GCF of 5537 and 5544?

Answer:

Greatest Common Factor of 5537 and 5544 = 7

Step 1: Find the prime factorization of 5537

5537 = 7 x 7 x 113

Step 2: Find the prime factorization of 5544

5544 = 2 x 2 x 2 x 3 x 3 x 7 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 5537 and 5544 is 7