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 6258, 6262 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6258 and 6262 is 2.
GCF(6258,6262) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6258
2 | 6258 |
3 | 3129 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 6258 are 2,3,7,149. Prime factorization of 6258 in exponential form is:
6258 = 21×31×71×1491
Prime Factorization of 6262
2 | 6262 |
31 | 3131 |
101 | 101 |
1 |
Prime factors of 6262 are 2,31,101. Prime factorization of 6262 in exponential form is:
6262 = 21×311×1011
∴ So by taking common prime factors GCF of 6258 and 6262 is 2
Factors of 6258
List of positive integer factors of 6258 that divides 6258 without a remainder.
1,2,3,6,7,14,21,42,149,298,447,894,1043,2086,3129,6258
Factors of 6262
List of positive integer factors of 6262 that divides 6262 without a remainder.
1,2,31,62,101,202,3131,6262
Greatest Common Factor
We found the factors and prime factorization of 6258 and 6262. The biggest common factor number is the GCF number.
So the greatest common factor 6258 and 6262 is 2.
Also check out the Least Common Multiple of 6258 and 6262
(i) The GCF of 6258 and 6262 is associative
GCF of 6258 and 6262 = GCF of 6262 and 6258
1. What is the GCF of 6258 and 6262?
Answer: GCF of 6258 and 6262 is 2.
2. What are the Factors of 6258?
Answer: Factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258. There are 16 integers that are factors of 6258. The greatest factor of 6258 is 6258.
3. What are the Factors of 6262?
Answer: Factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262. There are 8 integers that are factors of 6262. The greatest factor of 6262 is 6262.
4. How to Find the GCF of 6258 and 6262?
Answer:
Greatest Common Factor of 6258 and 6262 = 2
Step 1: Find the prime factorization of 6258
6258 = 2 x 3 x 7 x 149
Step 2: Find the prime factorization of 6262
6262 = 2 x 31 x 101
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 6258 and 6262 is 2