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 545, 546 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 545 and 546 is 1.
GCF(545,546) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 545
5 | 545 |
109 | 109 |
1 |
Prime factors of 545 are 5,109. Prime factorization of 545 in exponential form is:
545 = 51×1091
Prime Factorization of 546
2 | 546 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 546 are 2,3,7,13. Prime factorization of 546 in exponential form is:
546 = 21×31×71×131
∴ So by taking common prime factors GCF of 545 and 546 is 1
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors and prime factorization of 545 and 546. The biggest common factor number is the GCF number.
So the greatest common factor 545 and 546 is 1.
Also check out the Least Common Multiple of 545 and 546
(i) The GCF of 545 and 546 is associative
GCF of 545 and 546 = GCF of 546 and 545
1. What is the GCF of 545 and 546?
Answer: GCF of 545 and 546 is 1.
2. What are the Factors of 545?
Answer: Factors of 545 are 1, 5, 109, 545. There are 4 integers that are factors of 545. The greatest factor of 545 is 545.
3. What are the Factors of 546?
Answer: Factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546. There are 16 integers that are factors of 546. The greatest factor of 546 is 546.
4. How to Find the GCF of 545 and 546?
Answer:
Greatest Common Factor of 545 and 546 = 1
Step 1: Find the prime factorization of 545
545 = 5 x 109
Step 2: Find the prime factorization of 546
546 = 2 x 3 x 7 x 13
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 545 and 546 is 1