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 1534, 1542 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1534 and 1542 is 2.
GCF(1534,1542) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1534
2 | 1534 |
13 | 767 |
59 | 59 |
1 |
Prime factors of 1534 are 2,13,59. Prime factorization of 1534 in exponential form is:
1534 = 21×131×591
Prime Factorization of 1542
2 | 1542 |
3 | 771 |
257 | 257 |
1 |
Prime factors of 1542 are 2,3,257. Prime factorization of 1542 in exponential form is:
1542 = 21×31×2571
∴ So by taking common prime factors GCF of 1534 and 1542 is 2
Factors of 1534
List of positive integer factors of 1534 that divides 1534 without a remainder.
1,2,13,26,59,118,767,1534
Factors of 1542
List of positive integer factors of 1542 that divides 1542 without a remainder.
1,2,3,6,257,514,771,1542
Greatest Common Factor
We found the factors and prime factorization of 1534 and 1542. The biggest common factor number is the GCF number.
So the greatest common factor 1534 and 1542 is 2.
Also check out the Least Common Multiple of 1534 and 1542
(i) The GCF of 1534 and 1542 is associative
GCF of 1534 and 1542 = GCF of 1542 and 1534
1. What is the GCF of 1534 and 1542?
Answer: GCF of 1534 and 1542 is 2.
2. 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.
3. What are the Factors of 1542?
Answer: Factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542. There are 8 integers that are factors of 1542. The greatest factor of 1542 is 1542.
4. How to Find the GCF of 1534 and 1542?
Answer:
Greatest Common Factor of 1534 and 1542 = 2
Step 1: Find the prime factorization of 1534
1534 = 2 x 13 x 59
Step 2: Find the prime factorization of 1542
1542 = 2 x 3 x 257
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 1534 and 1542 is 2