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 1497, 1498 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1497 and 1498 is 1.
GCF(1497,1498) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1497
3 | 1497 |
499 | 499 |
1 |
Prime factors of 1497 are 3,499. Prime factorization of 1497 in exponential form is:
1497 = 31×4991
Prime Factorization of 1498
2 | 1498 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 1498 are 2,7,107. Prime factorization of 1498 in exponential form is:
1498 = 21×71×1071
∴ So by taking common prime factors GCF of 1497 and 1498 is 1
Factors of 1497
List of positive integer factors of 1497 that divides 1497 without a remainder.
1,3,499,1497
Factors of 1498
List of positive integer factors of 1498 that divides 1498 without a remainder.
1,2,7,14,107,214,749,1498
Greatest Common Factor
We found the factors and prime factorization of 1497 and 1498. The biggest common factor number is the GCF number.
So the greatest common factor 1497 and 1498 is 1.
Also check out the Least Common Multiple of 1497 and 1498
(i) The GCF of 1497 and 1498 is associative
GCF of 1497 and 1498 = GCF of 1498 and 1497
1. What is the GCF of 1497 and 1498?
Answer: GCF of 1497 and 1498 is 1.
2. What are the Factors of 1497?
Answer: Factors of 1497 are 1, 3, 499, 1497. There are 4 integers that are factors of 1497. The greatest factor of 1497 is 1497.
3. What are the Factors of 1498?
Answer: Factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498. There are 8 integers that are factors of 1498. The greatest factor of 1498 is 1498.
4. How to Find the GCF of 1497 and 1498?
Answer:
Greatest Common Factor of 1497 and 1498 = 1
Step 1: Find the prime factorization of 1497
1497 = 3 x 499
Step 2: Find the prime factorization of 1498
1498 = 2 x 7 x 107
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 1497 and 1498 is 1