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 7348, 7356 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7348 and 7356 is 4.
GCF(7348,7356) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7348
2 | 7348 |
2 | 3674 |
11 | 1837 |
167 | 167 |
1 |
Prime factors of 7348 are 2,11,167. Prime factorization of 7348 in exponential form is:
7348 = 22×111×1671
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 7348 and 7356 is 4
Factors of 7348
List of positive integer factors of 7348 that divides 7348 without a remainder.
1,2,4,11,22,44,167,334,668,1837,3674,7348
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 7348 and 7356. The biggest common factor number is the GCF number.
So the greatest common factor 7348 and 7356 is 4.
Also check out the Least Common Multiple of 7348 and 7356
(i) The GCF of 7348 and 7356 is associative
GCF of 7348 and 7356 = GCF of 7356 and 7348
1. What is the GCF of 7348 and 7356?
Answer: GCF of 7348 and 7356 is 4.
2. What are the Factors of 7348?
Answer: Factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348. There are 12 integers that are factors of 7348. The greatest factor of 7348 is 7348.
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 7348 and 7356?
Answer:
Greatest Common Factor of 7348 and 7356 = 4
Step 1: Find the prime factorization of 7348
7348 = 2 x 2 x 11 x 167
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 x 2 = 4
Step 4: Therefore, the greatest common factor of 7348 and 7356 is 4