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 523, 524 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 523 and 524 is 1.
GCF(523,524) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 523
523 | 523 |
1 |
Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:
523 = 5231
Prime Factorization of 524
2 | 524 |
2 | 262 |
131 | 131 |
1 |
Prime factors of 524 are 2.Prime factorization of 524 in exponential form is:
524 = 22×1311
∴ So by taking common prime factors GCF of 523 and 524 is 1
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors and prime factorization of 523 and 524. The biggest common factor number is the GCF number.
So the greatest common factor 523 and 524 is 1.
Also check out the Least Common Multiple of 523 and 524
(i) The GCF of 523 and 524 is associative
GCF of 523 and 524 = GCF of 524 and 523
1. What is the GCF of 523 and 524?
Answer: GCF of 523 and 524 is 1.
2. What are the Factors of 523?
Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.
3. What are the Factors of 524?
Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.
4. How to Find the GCF of 523 and 524?
Answer:
Greatest Common Factor of 523 and 524 = 1
Step 1: Find the prime factorization of 523
523 = 523
Step 2: Find the prime factorization of 524
524 = 2 x 2 x 131
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 523 and 524 is 1