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 4236, 4244 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4236 and 4244 is 4.
GCF(4236,4244) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4236
2 | 4236 |
2 | 2118 |
3 | 1059 |
353 | 353 |
1 |
Prime factors of 4236 are 2,3,353. Prime factorization of 4236 in exponential form is:
4236 = 22×31×3531
Prime Factorization of 4244
2 | 4244 |
2 | 2122 |
1061 | 1061 |
1 |
Prime factors of 4244 are 2,1061. Prime factorization of 4244 in exponential form is:
4244 = 22×10611
∴ So by taking common prime factors GCF of 4236 and 4244 is 4
Factors of 4236
List of positive integer factors of 4236 that divides 4236 without a remainder.
1,2,3,4,6,12,353,706,1059,1412,2118,4236
Factors of 4244
List of positive integer factors of 4244 that divides 4244 without a remainder.
1,2,4,1061,2122,4244
Greatest Common Factor
We found the factors and prime factorization of 4236 and 4244. The biggest common factor number is the GCF number.
So the greatest common factor 4236 and 4244 is 4.
Also check out the Least Common Multiple of 4236 and 4244
(i) The GCF of 4236 and 4244 is associative
GCF of 4236 and 4244 = GCF of 4244 and 4236
1. What is the GCF of 4236 and 4244?
Answer: GCF of 4236 and 4244 is 4.
2. What are the Factors of 4236?
Answer: Factors of 4236 are 1, 2, 3, 4, 6, 12, 353, 706, 1059, 1412, 2118, 4236. There are 12 integers that are factors of 4236. The greatest factor of 4236 is 4236.
3. What are the Factors of 4244?
Answer: Factors of 4244 are 1, 2, 4, 1061, 2122, 4244. There are 6 integers that are factors of 4244. The greatest factor of 4244 is 4244.
4. How to Find the GCF of 4236 and 4244?
Answer:
Greatest Common Factor of 4236 and 4244 = 4
Step 1: Find the prime factorization of 4236
4236 = 2 x 2 x 3 x 353
Step 2: Find the prime factorization of 4244
4244 = 2 x 2 x 1061
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 4236 and 4244 is 4