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 520, 524 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 520 and 524 is 4.
GCF(520,524) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 520
2 | 520 |
2 | 260 |
2 | 130 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 520 are 2,5,13. Prime factorization of 520 in exponential form is:
520 = 23×51×131
Prime Factorization of 524
2 | 524 |
2 | 262 |
131 | 131 |
1 |
Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:
524 = 22×1311
∴ So by taking common prime factors GCF of 520 and 524 is 4
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
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 520 and 524. The biggest common factor number is the GCF number.
So the greatest common factor 520 and 524 is 4.
Also check out the Least Common Multiple of 520 and 524
(i) The GCF of 520 and 524 is associative
GCF of 520 and 524 = GCF of 524 and 520
1. What is the GCF of 520 and 524?
Answer: GCF of 520 and 524 is 4.
2. What are the Factors of 520?
Answer: Factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. There are 16 integers that are factors of 520. The greatest factor of 520 is 520.
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 520 and 524?
Answer:
Greatest Common Factor of 520 and 524 = 4
Step 1: Find the prime factorization of 520
520 = 2 x 2 x 2 x 5 x 13
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 520 and 524 is 4