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 1531, 1534 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1531 and 1534 is 1.
GCF(1531,1534) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1531
1531 | 1531 |
1 |
Prime factors of 1531 are 1531. Prime factorization of 1531 in exponential form is:
1531 = 15311
Prime Factorization of 1534
2 | 1534 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 1534 are 2.Prime factorization of 1534 in exponential form is:
1534 = 21×131×591
∴ So by taking common prime factors GCF of 1531 and 1534 is 1
Factors of 1531
List of positive integer factors of 1531 that divides 1531 without a remainder.
1,1531
Factors of 1534
List of positive integer factors of 1534 that divides 1534 without a remainder.
1,2,13,26,59,118,767,1534
Greatest Common Factor
We found the factors and prime factorization of 1531 and 1534. The biggest common factor number is the GCF number.
So the greatest common factor 1531 and 1534 is 1.
Also check out the Least Common Multiple of 1531 and 1534
(i) The GCF of 1531 and 1534 is associative
GCF of 1531 and 1534 = GCF of 1534 and 1531
1. What is the GCF of 1531 and 1534?
Answer: GCF of 1531 and 1534 is 1.
2. What are the Factors of 1531?
Answer: Factors of 1531 are 1, 1531. There are 2 integers that are factors of 1531. The greatest factor of 1531 is 1531.
3. What are the Factors of 1534?
Answer: Factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534. There are 8 integers that are factors of 1534. The greatest factor of 1534 is 1534.
4. How to Find the GCF of 1531 and 1534?
Answer:
Greatest Common Factor of 1531 and 1534 = 1
Step 1: Find the prime factorization of 1531
1531 = 1531
Step 2: Find the prime factorization of 1534
1534 = 2 x 13 x 59
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 1531 and 1534 is 1