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 8037, 8040 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8037 and 8040 is 3.
GCF(8037,8040) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8037
3 | 8037 |
3 | 2679 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 8037 are 3,19,47. Prime factorization of 8037 in exponential form is:
8037 = 32×191×471
Prime Factorization of 8040
2 | 8040 |
2 | 4020 |
2 | 2010 |
3 | 1005 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 8040 are 2,3,5,67. Prime factorization of 8040 in exponential form is:
8040 = 23×31×51×671
∴ So by taking common prime factors GCF of 8037 and 8040 is 3
Factors of 8037
List of positive integer factors of 8037 that divides 8037 without a remainder.
1,3,9,19,47,57,141,171,423,893,2679,8037
Factors of 8040
List of positive integer factors of 8040 that divides 8040 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040
Greatest Common Factor
We found the factors and prime factorization of 8037 and 8040. The biggest common factor number is the GCF number.
So the greatest common factor 8037 and 8040 is 3.
Also check out the Least Common Multiple of 8037 and 8040
(i) The GCF of 8037 and 8040 is associative
GCF of 8037 and 8040 = GCF of 8040 and 8037
1. What is the GCF of 8037 and 8040?
Answer: GCF of 8037 and 8040 is 3.
2. What are the Factors of 8037?
Answer: Factors of 8037 are 1, 3, 9, 19, 47, 57, 141, 171, 423, 893, 2679, 8037. There are 12 integers that are factors of 8037. The greatest factor of 8037 is 8037.
3. What are the Factors of 8040?
Answer: Factors of 8040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 67, 120, 134, 201, 268, 335, 402, 536, 670, 804, 1005, 1340, 1608, 2010, 2680, 4020, 8040. There are 32 integers that are factors of 8040. The greatest factor of 8040 is 8040.
4. How to Find the GCF of 8037 and 8040?
Answer:
Greatest Common Factor of 8037 and 8040 = 3
Step 1: Find the prime factorization of 8037
8037 = 3 x 3 x 19 x 47
Step 2: Find the prime factorization of 8040
8040 = 2 x 2 x 2 x 3 x 5 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 8037 and 8040 is 3