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 7412, 7418 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7412 and 7418 is 2.
GCF(7412,7418) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7412
2 | 7412 |
2 | 3706 |
17 | 1853 |
109 | 109 |
1 |
Prime factors of 7412 are 2,17,109. Prime factorization of 7412 in exponential form is:
7412 = 22×171×1091
Prime Factorization of 7418
2 | 7418 |
3709 | 3709 |
1 |
Prime factors of 7418 are 2,3709. Prime factorization of 7418 in exponential form is:
7418 = 21×37091
∴ So by taking common prime factors GCF of 7412 and 7418 is 2
Factors of 7412
List of positive integer factors of 7412 that divides 7412 without a remainder.
1,2,4,17,34,68,109,218,436,1853,3706,7412
Factors of 7418
List of positive integer factors of 7418 that divides 7418 without a remainder.
1,2,3709,7418
Greatest Common Factor
We found the factors and prime factorization of 7412 and 7418. The biggest common factor number is the GCF number.
So the greatest common factor 7412 and 7418 is 2.
Also check out the Least Common Multiple of 7412 and 7418
(i) The GCF of 7412 and 7418 is associative
GCF of 7412 and 7418 = GCF of 7418 and 7412
1. What is the GCF of 7412 and 7418?
Answer: GCF of 7412 and 7418 is 2.
2. What are the Factors of 7412?
Answer: Factors of 7412 are 1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412. There are 12 integers that are factors of 7412. The greatest factor of 7412 is 7412.
3. What are the Factors of 7418?
Answer: Factors of 7418 are 1, 2, 3709, 7418. There are 4 integers that are factors of 7418. The greatest factor of 7418 is 7418.
4. How to Find the GCF of 7412 and 7418?
Answer:
Greatest Common Factor of 7412 and 7418 = 2
Step 1: Find the prime factorization of 7412
7412 = 2 x 2 x 17 x 109
Step 2: Find the prime factorization of 7418
7418 = 2 x 3709
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 7412 and 7418 is 2