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, 7492 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7485 and 7492 is 1.
GCF(7485,7492) = 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 7492
2 | 7492 |
2 | 3746 |
1873 | 1873 |
1 |
Prime factors of 7492 are 2,1873. Prime factorization of 7492 in exponential form is:
7492 = 22×18731
∴ So by taking common prime factors GCF of 7485 and 7492 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 7492
List of positive integer factors of 7492 that divides 7492 without a remainder.
1,2,4,1873,3746,7492
Greatest Common Factor
We found the factors and prime factorization of 7485 and 7492. The biggest common factor number is the GCF number.
So the greatest common factor 7485 and 7492 is 1.
Also check out the Least Common Multiple of 7485 and 7492
(i) The GCF of 7485 and 7492 is associative
GCF of 7485 and 7492 = GCF of 7492 and 7485
1. What is the GCF of 7485 and 7492?
Answer: GCF of 7485 and 7492 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 7492?
Answer: Factors of 7492 are 1, 2, 4, 1873, 3746, 7492. There are 6 integers that are factors of 7492. The greatest factor of 7492 is 7492.
4. How to Find the GCF of 7485 and 7492?
Answer:
Greatest Common Factor of 7485 and 7492 = 1
Step 1: Find the prime factorization of 7485
7485 = 3 x 5 x 499
Step 2: Find the prime factorization of 7492
7492 = 2 x 2 x 1873
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 7492 is 1