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 530, 532 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 530 and 532 is 2.
GCF(530,532) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 530
2 | 530 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 530 are 2,5,53. Prime factorization of 530 in exponential form is:
530 = 21×51×531
Prime Factorization of 532
2 | 532 |
2 | 266 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 532 are 2,7,19. Prime factorization of 532 in exponential form is:
532 = 22×71×191
∴ So by taking common prime factors GCF of 530 and 532 is 2
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors and prime factorization of 530 and 532. The biggest common factor number is the GCF number.
So the greatest common factor 530 and 532 is 2.
Also check out the Least Common Multiple of 530 and 532
(i) The GCF of 530 and 532 is associative
GCF of 530 and 532 = GCF of 532 and 530
1. What is the GCF of 530 and 532?
Answer: GCF of 530 and 532 is 2.
2. What are the Factors of 530?
Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.
3. What are the Factors of 532?
Answer: Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. There are 12 integers that are factors of 532. The greatest factor of 532 is 532.
4. How to Find the GCF of 530 and 532?
Answer:
Greatest Common Factor of 530 and 532 = 2
Step 1: Find the prime factorization of 530
530 = 2 x 5 x 53
Step 2: Find the prime factorization of 532
532 = 2 x 2 x 7 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 530 and 532 is 2