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 7538, 7545 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7538 and 7545 is 1.
GCF(7538,7545) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7538
2 | 7538 |
3769 | 3769 |
1 |
Prime factors of 7538 are 2,3769. Prime factorization of 7538 in exponential form is:
7538 = 21×37691
Prime Factorization of 7545
3 | 7545 |
5 | 2515 |
503 | 503 |
1 |
Prime factors of 7545 are 3,5,503. Prime factorization of 7545 in exponential form is:
7545 = 31×51×5031
∴ So by taking common prime factors GCF of 7538 and 7545 is 1
Factors of 7538
List of positive integer factors of 7538 that divides 7538 without a remainder.
1,2,3769,7538
Factors of 7545
List of positive integer factors of 7545 that divides 7545 without a remainder.
1,3,5,15,503,1509,2515,7545
Greatest Common Factor
We found the factors and prime factorization of 7538 and 7545. The biggest common factor number is the GCF number.
So the greatest common factor 7538 and 7545 is 1.
Also check out the Least Common Multiple of 7538 and 7545
(i) The GCF of 7538 and 7545 is associative
GCF of 7538 and 7545 = GCF of 7545 and 7538
1. What is the GCF of 7538 and 7545?
Answer: GCF of 7538 and 7545 is 1.
2. What are the Factors of 7538?
Answer: Factors of 7538 are 1, 2, 3769, 7538. There are 4 integers that are factors of 7538. The greatest factor of 7538 is 7538.
3. What are the Factors of 7545?
Answer: Factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545. There are 8 integers that are factors of 7545. The greatest factor of 7545 is 7545.
4. How to Find the GCF of 7538 and 7545?
Answer:
Greatest Common Factor of 7538 and 7545 = 1
Step 1: Find the prime factorization of 7538
7538 = 2 x 3769
Step 2: Find the prime factorization of 7545
7545 = 3 x 5 x 503
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 7538 and 7545 is 1