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 2736, 2738 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2736 and 2738 is 2.
GCF(2736,2738) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2736
2 | 2736 |
2 | 1368 |
2 | 684 |
2 | 342 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 2736 are 2,3,19. Prime factorization of 2736 in exponential form is:
2736 = 24×32×191
Prime Factorization of 2738
2 | 2738 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 2738 are 2,37. Prime factorization of 2738 in exponential form is:
2738 = 21×372
∴ So by taking common prime factors GCF of 2736 and 2738 is 2
Factors of 2736
List of positive integer factors of 2736 that divides 2736 without a remainder.
1,2,3,4,6,8,9,12,16,18,19,24,36,38,48,57,72,76,114,144,152,171,228,304,342,456,684,912,1368,2736
Factors of 2738
List of positive integer factors of 2738 that divides 2738 without a remainder.
1,2,37,74,1369,2738
Greatest Common Factor
We found the factors and prime factorization of 2736 and 2738. The biggest common factor number is the GCF number.
So the greatest common factor 2736 and 2738 is 2.
Also check out the Least Common Multiple of 2736 and 2738
(i) The GCF of 2736 and 2738 is associative
GCF of 2736 and 2738 = GCF of 2738 and 2736
1. What is the GCF of 2736 and 2738?
Answer: GCF of 2736 and 2738 is 2.
2. What are the Factors of 2736?
Answer: Factors of 2736 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736. There are 30 integers that are factors of 2736. The greatest factor of 2736 is 2736.
3. What are the Factors of 2738?
Answer: Factors of 2738 are 1, 2, 37, 74, 1369, 2738. There are 6 integers that are factors of 2738. The greatest factor of 2738 is 2738.
4. How to Find the GCF of 2736 and 2738?
Answer:
Greatest Common Factor of 2736 and 2738 = 2
Step 1: Find the prime factorization of 2736
2736 = 2 x 2 x 2 x 2 x 3 x 3 x 19
Step 2: Find the prime factorization of 2738
2738 = 2 x 37 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2736 and 2738 is 2