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 1542, 1546 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1542 and 1546 is 2.
GCF(1542,1546) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1546
2 | 1546 |
773 | 773 |
1 |
Prime factors of 1546 are 2,773. Prime factorization of 1546 in exponential form is:
1546 = 21×7731
∴ So by taking common prime factors GCF of 1542 and 1546 is 2
Factors of 1542
List of positive integer factors of 1542 that divides 1542 without a remainder.
1,2,3,6,257,514,771,1542
Factors of 1546
List of positive integer factors of 1546 that divides 1546 without a remainder.
1,2,773,1546
Greatest Common Factor
We found the factors and prime factorization of 1542 and 1546. The biggest common factor number is the GCF number.
So the greatest common factor 1542 and 1546 is 2.
Also check out the Least Common Multiple of 1542 and 1546
(i) The GCF of 1542 and 1546 is associative
GCF of 1542 and 1546 = GCF of 1546 and 1542
1. What is the GCF of 1542 and 1546?
Answer: GCF of 1542 and 1546 is 2.
2. 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.
3. What are the Factors of 1546?
Answer: Factors of 1546 are 1, 2, 773, 1546. There are 4 integers that are factors of 1546. The greatest factor of 1546 is 1546.
4. How to Find the GCF of 1542 and 1546?
Answer:
Greatest Common Factor of 1542 and 1546 = 2
Step 1: Find the prime factorization of 1542
1542 = 2 x 3 x 257
Step 2: Find the prime factorization of 1546
1546 = 2 x 773
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 1542 and 1546 is 2