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 5274, 5282 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5274 and 5282 is 2.
GCF(5274,5282) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5274
2 | 5274 |
3 | 2637 |
3 | 879 |
293 | 293 |
1 |
Prime factors of 5274 are 2,3,293. Prime factorization of 5274 in exponential form is:
5274 = 21×32×2931
Prime Factorization of 5282
2 | 5282 |
19 | 2641 |
139 | 139 |
1 |
Prime factors of 5282 are 2,19,139. Prime factorization of 5282 in exponential form is:
5282 = 21×191×1391
∴ So by taking common prime factors GCF of 5274 and 5282 is 2
Factors of 5274
List of positive integer factors of 5274 that divides 5274 without a remainder.
1,2,3,6,9,18,293,586,879,1758,2637,5274
Factors of 5282
List of positive integer factors of 5282 that divides 5282 without a remainder.
1,2,19,38,139,278,2641,5282
Greatest Common Factor
We found the factors and prime factorization of 5274 and 5282. The biggest common factor number is the GCF number.
So the greatest common factor 5274 and 5282 is 2.
Also check out the Least Common Multiple of 5274 and 5282
(i) The GCF of 5274 and 5282 is associative
GCF of 5274 and 5282 = GCF of 5282 and 5274
1. What is the GCF of 5274 and 5282?
Answer: GCF of 5274 and 5282 is 2.
2. What are the Factors of 5274?
Answer: Factors of 5274 are 1, 2, 3, 6, 9, 18, 293, 586, 879, 1758, 2637, 5274. There are 12 integers that are factors of 5274. The greatest factor of 5274 is 5274.
3. What are the Factors of 5282?
Answer: Factors of 5282 are 1, 2, 19, 38, 139, 278, 2641, 5282. There are 8 integers that are factors of 5282. The greatest factor of 5282 is 5282.
4. How to Find the GCF of 5274 and 5282?
Answer:
Greatest Common Factor of 5274 and 5282 = 2
Step 1: Find the prime factorization of 5274
5274 = 2 x 3 x 3 x 293
Step 2: Find the prime factorization of 5282
5282 = 2 x 19 x 139
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 5274 and 5282 is 2