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 8258, 8260 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8258 and 8260 is 2.
GCF(8258,8260) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8258
2 | 8258 |
4129 | 4129 |
1 |
Prime factors of 8258 are 2,4129. Prime factorization of 8258 in exponential form is:
8258 = 21×41291
Prime Factorization of 8260
2 | 8260 |
2 | 4130 |
5 | 2065 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 8260 are 2,5,7,59. Prime factorization of 8260 in exponential form is:
8260 = 22×51×71×591
∴ So by taking common prime factors GCF of 8258 and 8260 is 2
Factors of 8258
List of positive integer factors of 8258 that divides 8258 without a remainder.
1,2,4129,8258
Factors of 8260
List of positive integer factors of 8260 that divides 8260 without a remainder.
1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260
Greatest Common Factor
We found the factors and prime factorization of 8258 and 8260. The biggest common factor number is the GCF number.
So the greatest common factor 8258 and 8260 is 2.
Also check out the Least Common Multiple of 8258 and 8260
(i) The GCF of 8258 and 8260 is associative
GCF of 8258 and 8260 = GCF of 8260 and 8258
1. What is the GCF of 8258 and 8260?
Answer: GCF of 8258 and 8260 is 2.
2. What are the Factors of 8258?
Answer: Factors of 8258 are 1, 2, 4129, 8258. There are 4 integers that are factors of 8258. The greatest factor of 8258 is 8258.
3. What are the Factors of 8260?
Answer: Factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260. There are 24 integers that are factors of 8260. The greatest factor of 8260 is 8260.
4. How to Find the GCF of 8258 and 8260?
Answer:
Greatest Common Factor of 8258 and 8260 = 2
Step 1: Find the prime factorization of 8258
8258 = 2 x 4129
Step 2: Find the prime factorization of 8260
8260 = 2 x 2 x 5 x 7 x 59
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 8258 and 8260 is 2