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 7354, 7356 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7354 and 7356 is 2.
GCF(7354,7356) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7354
2 | 7354 |
3677 | 3677 |
1 |
Prime factors of 7354 are 2,3677. Prime factorization of 7354 in exponential form is:
7354 = 21×36771
Prime Factorization of 7356
2 | 7356 |
2 | 3678 |
3 | 1839 |
613 | 613 |
1 |
Prime factors of 7356 are 2,3,613. Prime factorization of 7356 in exponential form is:
7356 = 22×31×6131
∴ So by taking common prime factors GCF of 7354 and 7356 is 2
Factors of 7354
List of positive integer factors of 7354 that divides 7354 without a remainder.
1,2,3677,7354
Factors of 7356
List of positive integer factors of 7356 that divides 7356 without a remainder.
1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Greatest Common Factor
We found the factors and prime factorization of 7354 and 7356. The biggest common factor number is the GCF number.
So the greatest common factor 7354 and 7356 is 2.
Also check out the Least Common Multiple of 7354 and 7356
(i) The GCF of 7354 and 7356 is associative
GCF of 7354 and 7356 = GCF of 7356 and 7354
1. What is the GCF of 7354 and 7356?
Answer: GCF of 7354 and 7356 is 2.
2. What are the Factors of 7354?
Answer: Factors of 7354 are 1, 2, 3677, 7354. There are 4 integers that are factors of 7354. The greatest factor of 7354 is 7354.
3. What are the Factors of 7356?
Answer: Factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356. There are 12 integers that are factors of 7356. The greatest factor of 7356 is 7356.
4. How to Find the GCF of 7354 and 7356?
Answer:
Greatest Common Factor of 7354 and 7356 = 2
Step 1: Find the prime factorization of 7354
7354 = 2 x 3677
Step 2: Find the prime factorization of 7356
7356 = 2 x 2 x 3 x 613
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 7354 and 7356 is 2