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 1523, 1529 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1523 and 1529 is 1.
GCF(1523,1529) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1523
1523 | 1523 |
1 |
Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:
1523 = 15231
Prime Factorization of 1529
11 | 1529 |
139 | 139 |
1 |
Prime factors of 1529 are 11.Prime factorization of 1529 in exponential form is:
1529 = 111×1391
∴ So by taking common prime factors GCF of 1523 and 1529 is 1
Factors of 1523
List of positive integer factors of 1523 that divides 1523 without a remainder.
1,1523
Factors of 1529
List of positive integer factors of 1529 that divides 1529 without a remainder.
1,11,139,1529
Greatest Common Factor
We found the factors and prime factorization of 1523 and 1529. The biggest common factor number is the GCF number.
So the greatest common factor 1523 and 1529 is 1.
Also check out the Least Common Multiple of 1523 and 1529
(i) The GCF of 1523 and 1529 is associative
GCF of 1523 and 1529 = GCF of 1529 and 1523
1. What is the GCF of 1523 and 1529?
Answer: GCF of 1523 and 1529 is 1.
2. What are the Factors of 1523?
Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.
3. What are the Factors of 1529?
Answer: Factors of 1529 are 1, 11, 139, 1529. There are 4 integers that are factors of 1529. The greatest factor of 1529 is 1529.
4. How to Find the GCF of 1523 and 1529?
Answer:
Greatest Common Factor of 1523 and 1529 = 1
Step 1: Find the prime factorization of 1523
1523 = 1523
Step 2: Find the prime factorization of 1529
1529 = 11 x 139
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 1523 and 1529 is 1