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 7574, 7581 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7574 and 7581 is 7.
GCF(7574,7581) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7574
2 | 7574 |
7 | 3787 |
541 | 541 |
1 |
Prime factors of 7574 are 2,7,541. Prime factorization of 7574 in exponential form is:
7574 = 21×71×5411
Prime Factorization of 7581
3 | 7581 |
7 | 2527 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 7581 are 3,7,19. Prime factorization of 7581 in exponential form is:
7581 = 31×71×192
∴ So by taking common prime factors GCF of 7574 and 7581 is 7
Factors of 7574
List of positive integer factors of 7574 that divides 7574 without a remainder.
1,2,7,14,541,1082,3787,7574
Factors of 7581
List of positive integer factors of 7581 that divides 7581 without a remainder.
1,3,7,19,21,57,133,361,399,1083,2527,7581
Greatest Common Factor
We found the factors and prime factorization of 7574 and 7581. The biggest common factor number is the GCF number.
So the greatest common factor 7574 and 7581 is 7.
Also check out the Least Common Multiple of 7574 and 7581
(i) The GCF of 7574 and 7581 is associative
GCF of 7574 and 7581 = GCF of 7581 and 7574
1. What is the GCF of 7574 and 7581?
Answer: GCF of 7574 and 7581 is 7.
2. What are the Factors of 7574?
Answer: Factors of 7574 are 1, 2, 7, 14, 541, 1082, 3787, 7574. There are 8 integers that are factors of 7574. The greatest factor of 7574 is 7574.
3. What are the Factors of 7581?
Answer: Factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581. There are 12 integers that are factors of 7581. The greatest factor of 7581 is 7581.
4. How to Find the GCF of 7574 and 7581?
Answer:
Greatest Common Factor of 7574 and 7581 = 7
Step 1: Find the prime factorization of 7574
7574 = 2 x 7 x 541
Step 2: Find the prime factorization of 7581
7581 = 3 x 7 x 19 x 19
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 7574 and 7581 is 7