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 5513, 5520 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5513 and 5520 is 1.
GCF(5513,5520) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5513
37 | 5513 |
149 | 149 |
1 |
Prime factors of 5513 are 37,149. Prime factorization of 5513 in exponential form is:
5513 = 371×1491
Prime Factorization of 5520
2 | 5520 |
2 | 2760 |
2 | 1380 |
2 | 690 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 5520 are 2,3,5,23. Prime factorization of 5520 in exponential form is:
5520 = 24×31×51×231
∴ So by taking common prime factors GCF of 5513 and 5520 is 1
Factors of 5513
List of positive integer factors of 5513 that divides 5513 without a remainder.
1,37,149,5513
Factors of 5520
List of positive integer factors of 5520 that divides 5520 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520
Greatest Common Factor
We found the factors and prime factorization of 5513 and 5520. The biggest common factor number is the GCF number.
So the greatest common factor 5513 and 5520 is 1.
Also check out the Least Common Multiple of 5513 and 5520
(i) The GCF of 5513 and 5520 is associative
GCF of 5513 and 5520 = GCF of 5520 and 5513
1. What is the GCF of 5513 and 5520?
Answer: GCF of 5513 and 5520 is 1.
2. What are the Factors of 5513?
Answer: Factors of 5513 are 1, 37, 149, 5513. There are 4 integers that are factors of 5513. The greatest factor of 5513 is 5513.
3. What are the Factors of 5520?
Answer: Factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520. There are 40 integers that are factors of 5520. The greatest factor of 5520 is 5520.
4. How to Find the GCF of 5513 and 5520?
Answer:
Greatest Common Factor of 5513 and 5520 = 1
Step 1: Find the prime factorization of 5513
5513 = 37 x 149
Step 2: Find the prime factorization of 5520
5520 = 2 x 2 x 2 x 2 x 3 x 5 x 23
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 5513 and 5520 is 1