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 551, 554 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 551 and 554 is 1.
GCF(551,554) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 551
19 | 551 |
29 | 29 |
1 |
Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:
551 = 191×291
Prime Factorization of 554
2 | 554 |
277 | 277 |
1 |
Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:
554 = 21×2771
∴ So by taking common prime factors GCF of 551 and 554 is 1
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors and prime factorization of 551 and 554. The biggest common factor number is the GCF number.
So the greatest common factor 551 and 554 is 1.
Also check out the Least Common Multiple of 551 and 554
(i) The GCF of 551 and 554 is associative
GCF of 551 and 554 = GCF of 554 and 551
1. What is the GCF of 551 and 554?
Answer: GCF of 551 and 554 is 1.
2. What are the Factors of 551?
Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.
3. What are the Factors of 554?
Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.
4. How to Find the GCF of 551 and 554?
Answer:
Greatest Common Factor of 551 and 554 = 1
Step 1: Find the prime factorization of 551
551 = 19 x 29
Step 2: Find the prime factorization of 554
554 = 2 x 277
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 551 and 554 is 1