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 2752, 2760 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2752 and 2760 is 8.
GCF(2752,2760) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2752
2 | 2752 |
2 | 1376 |
2 | 688 |
2 | 344 |
2 | 172 |
2 | 86 |
43 | 43 |
1 |
Prime factors of 2752 are 2,43. Prime factorization of 2752 in exponential form is:
2752 = 26×431
Prime Factorization of 2760
2 | 2760 |
2 | 1380 |
2 | 690 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 2760 are 2,3,5,23. Prime factorization of 2760 in exponential form is:
2760 = 23×31×51×231
∴ So by taking common prime factors GCF of 2752 and 2760 is 8
Factors of 2752
List of positive integer factors of 2752 that divides 2752 without a remainder.
1,2,4,8,16,32,43,64,86,172,344,688,1376,2752
Factors of 2760
List of positive integer factors of 2760 that divides 2760 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,23,24,30,40,46,60,69,92,115,120,138,184,230,276,345,460,552,690,920,1380,2760
Greatest Common Factor
We found the factors and prime factorization of 2752 and 2760. The biggest common factor number is the GCF number.
So the greatest common factor 2752 and 2760 is 8.
Also check out the Least Common Multiple of 2752 and 2760
(i) The GCF of 2752 and 2760 is associative
GCF of 2752 and 2760 = GCF of 2760 and 2752
1. What is the GCF of 2752 and 2760?
Answer: GCF of 2752 and 2760 is 8.
2. What are the Factors of 2752?
Answer: Factors of 2752 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 172, 344, 688, 1376, 2752. There are 14 integers that are factors of 2752. The greatest factor of 2752 is 2752.
3. What are the Factors of 2760?
Answer: Factors of 2760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 30, 40, 46, 60, 69, 92, 115, 120, 138, 184, 230, 276, 345, 460, 552, 690, 920, 1380, 2760. There are 32 integers that are factors of 2760. The greatest factor of 2760 is 2760.
4. How to Find the GCF of 2752 and 2760?
Answer:
Greatest Common Factor of 2752 and 2760 = 8
Step 1: Find the prime factorization of 2752
2752 = 2 x 2 x 2 x 2 x 2 x 2 x 43
Step 2: Find the prime factorization of 2760
2760 = 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 = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 2752 and 2760 is 8