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 534, 540 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 534 and 540 is 6.
GCF(534,540) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 534
2 | 534 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 534 are 2,3,89. Prime factorization of 534 in exponential form is:
534 = 21×31×891
Prime Factorization of 540
2 | 540 |
2 | 270 |
3 | 135 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 540 are 2,3,5. Prime factorization of 540 in exponential form is:
540 = 22×33×51
∴ So by taking common prime factors GCF of 534 and 540 is 6
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors and prime factorization of 534 and 540. The biggest common factor number is the GCF number.
So the greatest common factor 534 and 540 is 6.
Also check out the Least Common Multiple of 534 and 540
(i) The GCF of 534 and 540 is associative
GCF of 534 and 540 = GCF of 540 and 534
1. What is the GCF of 534 and 540?
Answer: GCF of 534 and 540 is 6.
2. What are the Factors of 534?
Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.
3. What are the Factors of 540?
Answer: Factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. There are 24 integers that are factors of 540. The greatest factor of 540 is 540.
4. How to Find the GCF of 534 and 540?
Answer:
Greatest Common Factor of 534 and 540 = 6
Step 1: Find the prime factorization of 534
534 = 2 x 3 x 89
Step 2: Find the prime factorization of 540
540 = 2 x 2 x 3 x 3 x 3 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 534 and 540 is 6