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 532, 537 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 532 and 537 is 1.
GCF(532,537) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 537
3 | 537 |
179 | 179 |
1 |
Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:
537 = 31×1791
∴ So by taking common prime factors GCF of 532 and 537 is 1
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
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors and prime factorization of 532 and 537. The biggest common factor number is the GCF number.
So the greatest common factor 532 and 537 is 1.
Also check out the Least Common Multiple of 532 and 537
(i) The GCF of 532 and 537 is associative
GCF of 532 and 537 = GCF of 537 and 532
1. What is the GCF of 532 and 537?
Answer: GCF of 532 and 537 is 1.
2. 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.
3. What are the Factors of 537?
Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.
4. How to Find the GCF of 532 and 537?
Answer:
Greatest Common Factor of 532 and 537 = 1
Step 1: Find the prime factorization of 532
532 = 2 x 2 x 7 x 19
Step 2: Find the prime factorization of 537
537 = 3 x 179
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 532 and 537 is 1