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 5282, 5288 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5282 and 5288 is 2.
GCF(5282,5288) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5288
2 | 5288 |
2 | 2644 |
2 | 1322 |
661 | 661 |
1 |
Prime factors of 5288 are 2,661. Prime factorization of 5288 in exponential form is:
5288 = 23×6611
∴ So by taking common prime factors GCF of 5282 and 5288 is 2
Factors of 5282
List of positive integer factors of 5282 that divides 5282 without a remainder.
1,2,19,38,139,278,2641,5282
Factors of 5288
List of positive integer factors of 5288 that divides 5288 without a remainder.
1,2,4,8,661,1322,2644,5288
Greatest Common Factor
We found the factors and prime factorization of 5282 and 5288. The biggest common factor number is the GCF number.
So the greatest common factor 5282 and 5288 is 2.
Also check out the Least Common Multiple of 5282 and 5288
(i) The GCF of 5282 and 5288 is associative
GCF of 5282 and 5288 = GCF of 5288 and 5282
1. What is the GCF of 5282 and 5288?
Answer: GCF of 5282 and 5288 is 2.
2. 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.
3. What are the Factors of 5288?
Answer: Factors of 5288 are 1, 2, 4, 8, 661, 1322, 2644, 5288. There are 8 integers that are factors of 5288. The greatest factor of 5288 is 5288.
4. How to Find the GCF of 5282 and 5288?
Answer:
Greatest Common Factor of 5282 and 5288 = 2
Step 1: Find the prime factorization of 5282
5282 = 2 x 19 x 139
Step 2: Find the prime factorization of 5288
5288 = 2 x 2 x 2 x 661
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 5282 and 5288 is 2