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 7485, 7489 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7485 and 7489 is 1.
GCF(7485,7489) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7485
3 | 7485 |
5 | 2495 |
499 | 499 |
1 |
Prime factors of 7485 are 3,5,499. Prime factorization of 7485 in exponential form is:
7485 = 31×51×4991
Prime Factorization of 7489
7489 | 7489 |
1 |
Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:
7489 = 74891
∴ So by taking common prime factors GCF of 7485 and 7489 is 1
Factors of 7485
List of positive integer factors of 7485 that divides 7485 without a remainder.
1,3,5,15,499,1497,2495,7485
Factors of 7489
List of positive integer factors of 7489 that divides 7489 without a remainder.
1,7489
Greatest Common Factor
We found the factors and prime factorization of 7485 and 7489. The biggest common factor number is the GCF number.
So the greatest common factor 7485 and 7489 is 1.
Also check out the Least Common Multiple of 7485 and 7489
(i) The GCF of 7485 and 7489 is associative
GCF of 7485 and 7489 = GCF of 7489 and 7485
1. What is the GCF of 7485 and 7489?
Answer: GCF of 7485 and 7489 is 1.
2. What are the Factors of 7485?
Answer: Factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485. There are 8 integers that are factors of 7485. The greatest factor of 7485 is 7485.
3. What are the Factors of 7489?
Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.
4. How to Find the GCF of 7485 and 7489?
Answer:
Greatest Common Factor of 7485 and 7489 = 1
Step 1: Find the prime factorization of 7485
7485 = 3 x 5 x 499
Step 2: Find the prime factorization of 7489
7489 = 7489
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 7485 and 7489 is 1