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 5348, 5354 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5348 and 5354 is 2.
GCF(5348,5354) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5348
2 | 5348 |
2 | 2674 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 5348 are 2,7,191. Prime factorization of 5348 in exponential form is:
5348 = 22×71×1911
Prime Factorization of 5354
2 | 5354 |
2677 | 2677 |
1 |
Prime factors of 5354 are 2,2677. Prime factorization of 5354 in exponential form is:
5354 = 21×26771
∴ So by taking common prime factors GCF of 5348 and 5354 is 2
Factors of 5348
List of positive integer factors of 5348 that divides 5348 without a remainder.
1,2,4,7,14,28,191,382,764,1337,2674,5348
Factors of 5354
List of positive integer factors of 5354 that divides 5354 without a remainder.
1,2,2677,5354
Greatest Common Factor
We found the factors and prime factorization of 5348 and 5354. The biggest common factor number is the GCF number.
So the greatest common factor 5348 and 5354 is 2.
Also check out the Least Common Multiple of 5348 and 5354
(i) The GCF of 5348 and 5354 is associative
GCF of 5348 and 5354 = GCF of 5354 and 5348
1. What is the GCF of 5348 and 5354?
Answer: GCF of 5348 and 5354 is 2.
2. What are the Factors of 5348?
Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.
3. What are the Factors of 5354?
Answer: Factors of 5354 are 1, 2, 2677, 5354. There are 4 integers that are factors of 5354. The greatest factor of 5354 is 5354.
4. How to Find the GCF of 5348 and 5354?
Answer:
Greatest Common Factor of 5348 and 5354 = 2
Step 1: Find the prime factorization of 5348
5348 = 2 x 2 x 7 x 191
Step 2: Find the prime factorization of 5354
5354 = 2 x 2677
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 5348 and 5354 is 2