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 548, 555 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 548 and 555 is 1.
GCF(548,555) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 548
2 | 548 |
2 | 274 |
137 | 137 |
1 |
Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:
548 = 22×1371
Prime Factorization of 555
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 555 are 3,5,37. Prime factorization of 555 in exponential form is:
555 = 31×51×371
∴ So by taking common prime factors GCF of 548 and 555 is 1
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors and prime factorization of 548 and 555. The biggest common factor number is the GCF number.
So the greatest common factor 548 and 555 is 1.
Also check out the Least Common Multiple of 548 and 555
(i) The GCF of 548 and 555 is associative
GCF of 548 and 555 = GCF of 555 and 548
1. What is the GCF of 548 and 555?
Answer: GCF of 548 and 555 is 1.
2. What are the Factors of 548?
Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.
3. What are the Factors of 555?
Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.
4. How to Find the GCF of 548 and 555?
Answer:
Greatest Common Factor of 548 and 555 = 1
Step 1: Find the prime factorization of 548
548 = 2 x 2 x 137
Step 2: Find the prime factorization of 555
555 = 3 x 5 x 37
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 548 and 555 is 1