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 1479, 1487 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1479 and 1487 is 1.
GCF(1479,1487) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1479
3 | 1479 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 1479 are 3,17,29. Prime factorization of 1479 in exponential form is:
1479 = 31×171×291
Prime Factorization of 1487
1487 | 1487 |
1 |
Prime factors of 1487 are 1487. Prime factorization of 1487 in exponential form is:
1487 = 14871
∴ So by taking common prime factors GCF of 1479 and 1487 is 1
Factors of 1479
List of positive integer factors of 1479 that divides 1479 without a remainder.
1,3,17,29,51,87,493,1479
Factors of 1487
List of positive integer factors of 1487 that divides 1487 without a remainder.
1,1487
Greatest Common Factor
We found the factors and prime factorization of 1479 and 1487. The biggest common factor number is the GCF number.
So the greatest common factor 1479 and 1487 is 1.
Also check out the Least Common Multiple of 1479 and 1487
(i) The GCF of 1479 and 1487 is associative
GCF of 1479 and 1487 = GCF of 1487 and 1479
1. What is the GCF of 1479 and 1487?
Answer: GCF of 1479 and 1487 is 1.
2. What are the Factors of 1479?
Answer: Factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479. There are 8 integers that are factors of 1479. The greatest factor of 1479 is 1479.
3. What are the Factors of 1487?
Answer: Factors of 1487 are 1, 1487. There are 2 integers that are factors of 1487. The greatest factor of 1487 is 1487.
4. How to Find the GCF of 1479 and 1487?
Answer:
Greatest Common Factor of 1479 and 1487 = 1
Step 1: Find the prime factorization of 1479
1479 = 3 x 17 x 29
Step 2: Find the prime factorization of 1487
1487 = 1487
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 1479 and 1487 is 1