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 4356, 4364 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4356 and 4364 is 4.
GCF(4356,4364) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4356
2 | 4356 |
2 | 2178 |
3 | 1089 |
3 | 363 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 4356 are 2,3,11. Prime factorization of 4356 in exponential form is:
4356 = 22×32×112
Prime Factorization of 4364
2 | 4364 |
2 | 2182 |
1091 | 1091 |
1 |
Prime factors of 4364 are 2,1091. Prime factorization of 4364 in exponential form is:
4364 = 22×10911
∴ So by taking common prime factors GCF of 4356 and 4364 is 4
Factors of 4356
List of positive integer factors of 4356 that divides 4356 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356
Factors of 4364
List of positive integer factors of 4364 that divides 4364 without a remainder.
1,2,4,1091,2182,4364
Greatest Common Factor
We found the factors and prime factorization of 4356 and 4364. The biggest common factor number is the GCF number.
So the greatest common factor 4356 and 4364 is 4.
Also check out the Least Common Multiple of 4356 and 4364
(i) The GCF of 4356 and 4364 is associative
GCF of 4356 and 4364 = GCF of 4364 and 4356
1. What is the GCF of 4356 and 4364?
Answer: GCF of 4356 and 4364 is 4.
2. What are the Factors of 4356?
Answer: Factors of 4356 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1452, 2178, 4356. There are 27 integers that are factors of 4356. The greatest factor of 4356 is 4356.
3. What are the Factors of 4364?
Answer: Factors of 4364 are 1, 2, 4, 1091, 2182, 4364. There are 6 integers that are factors of 4364. The greatest factor of 4364 is 4364.
4. How to Find the GCF of 4356 and 4364?
Answer:
Greatest Common Factor of 4356 and 4364 = 4
Step 1: Find the prime factorization of 4356
4356 = 2 x 2 x 3 x 3 x 11 x 11
Step 2: Find the prime factorization of 4364
4364 = 2 x 2 x 1091
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 4356 and 4364 is 4