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 6758, 6762 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6758 and 6762 is 2.
GCF(6758,6762) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6758
2 | 6758 |
31 | 3379 |
109 | 109 |
1 |
Prime factors of 6758 are 2,31,109. Prime factorization of 6758 in exponential form is:
6758 = 21×311×1091
Prime Factorization of 6762
2 | 6762 |
3 | 3381 |
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 6762 are 2,3,7,23. Prime factorization of 6762 in exponential form is:
6762 = 21×31×72×231
∴ So by taking common prime factors GCF of 6758 and 6762 is 2
Factors of 6758
List of positive integer factors of 6758 that divides 6758 without a remainder.
1,2,31,62,109,218,3379,6758
Factors of 6762
List of positive integer factors of 6762 that divides 6762 without a remainder.
1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762
Greatest Common Factor
We found the factors and prime factorization of 6758 and 6762. The biggest common factor number is the GCF number.
So the greatest common factor 6758 and 6762 is 2.
Also check out the Least Common Multiple of 6758 and 6762
(i) The GCF of 6758 and 6762 is associative
GCF of 6758 and 6762 = GCF of 6762 and 6758
1. What is the GCF of 6758 and 6762?
Answer: GCF of 6758 and 6762 is 2.
2. What are the Factors of 6758?
Answer: Factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758. There are 8 integers that are factors of 6758. The greatest factor of 6758 is 6758.
3. What are the Factors of 6762?
Answer: Factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762. There are 24 integers that are factors of 6762. The greatest factor of 6762 is 6762.
4. How to Find the GCF of 6758 and 6762?
Answer:
Greatest Common Factor of 6758 and 6762 = 2
Step 1: Find the prime factorization of 6758
6758 = 2 x 31 x 109
Step 2: Find the prime factorization of 6762
6762 = 2 x 3 x 7 x 7 x 23
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 6758 and 6762 is 2