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 26308, 26316 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 26308 and 26316 is 4.
GCF(26308,26316) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 26308
2 | 26308 |
2 | 13154 |
6577 | 6577 |
1 |
Prime factors of 26308 are 2,6577. Prime factorization of 26308 in exponential form is:
26308 = 22×65771
Prime Factorization of 26316
2 | 26316 |
2 | 13158 |
3 | 6579 |
3 | 2193 |
17 | 731 |
43 | 43 |
1 |
Prime factors of 26316 are 2,3,17,43. Prime factorization of 26316 in exponential form is:
26316 = 22×32×171×431
∴ So by taking common prime factors GCF of 26308 and 26316 is 4
Factors of 26308
List of positive integer factors of 26308 that divides 26308 without a remainder.
1,2,4,6577,13154,26308
Factors of 26316
List of positive integer factors of 26316 that divides 26316 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,43,51,68,86,102,129,153,172,204,258,306,387,516,612,731,774,1462,1548,2193,2924,4386,6579,8772,13158,26316
Greatest Common Factor
We found the factors and prime factorization of 26308 and 26316. The biggest common factor number is the GCF number.
So the greatest common factor 26308 and 26316 is 4.
Also check out the Least Common Multiple of 26308 and 26316
(i) The GCF of 26308 and 26316 is associative
GCF of 26308 and 26316 = GCF of 26316 and 26308
1. What is the GCF of 26308 and 26316?
Answer: GCF of 26308 and 26316 is 4.
2. What are the Factors of 26308?
Answer: Factors of 26308 are 1, 2, 4, 6577, 13154, 26308. There are 6 integers that are factors of 26308. The greatest factor of 26308 is 26308.
3. What are the Factors of 26316?
Answer: Factors of 26316 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 43, 51, 68, 86, 102, 129, 153, 172, 204, 258, 306, 387, 516, 612, 731, 774, 1462, 1548, 2193, 2924, 4386, 6579, 8772, 13158, 26316. There are 36 integers that are factors of 26316. The greatest factor of 26316 is 26316.
4. How to Find the GCF of 26308 and 26316?
Answer:
Greatest Common Factor of 26308 and 26316 = 4
Step 1: Find the prime factorization of 26308
26308 = 2 x 2 x 6577
Step 2: Find the prime factorization of 26316
26316 = 2 x 2 x 3 x 3 x 17 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 26308 and 26316 is 4