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 1457, 1458 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1457 and 1458 is 1.
GCF(1457,1458) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1457
31 | 1457 |
47 | 47 |
1 |
Prime factors of 1457 are 31,47. Prime factorization of 1457 in exponential form is:
1457 = 311×471
Prime Factorization of 1458
2 | 1458 |
3 | 729 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 1458 are 2,3. Prime factorization of 1458 in exponential form is:
1458 = 21×36
∴ So by taking common prime factors GCF of 1457 and 1458 is 1
Factors of 1457
List of positive integer factors of 1457 that divides 1457 without a remainder.
1,31,47,1457
Factors of 1458
List of positive integer factors of 1458 that divides 1458 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486,729,1458
Greatest Common Factor
We found the factors and prime factorization of 1457 and 1458. The biggest common factor number is the GCF number.
So the greatest common factor 1457 and 1458 is 1.
Also check out the Least Common Multiple of 1457 and 1458
(i) The GCF of 1457 and 1458 is associative
GCF of 1457 and 1458 = GCF of 1458 and 1457
1. What is the GCF of 1457 and 1458?
Answer: GCF of 1457 and 1458 is 1.
2. What are the Factors of 1457?
Answer: Factors of 1457 are 1, 31, 47, 1457. There are 4 integers that are factors of 1457. The greatest factor of 1457 is 1457.
3. What are the Factors of 1458?
Answer: Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The greatest factor of 1458 is 1458.
4. How to Find the GCF of 1457 and 1458?
Answer:
Greatest Common Factor of 1457 and 1458 = 1
Step 1: Find the prime factorization of 1457
1457 = 31 x 47
Step 2: Find the prime factorization of 1458
1458 = 2 x 3 x 3 x 3 x 3 x 3 x 3
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 1457 and 1458 is 1