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 4422, 4428 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4422 and 4428 is 6.
GCF(4422,4428) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4422
2 | 4422 |
3 | 2211 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 4422 are 2,3,11,67. Prime factorization of 4422 in exponential form is:
4422 = 21×31×111×671
Prime Factorization of 4428
2 | 4428 |
2 | 2214 |
3 | 1107 |
3 | 369 |
3 | 123 |
41 | 41 |
1 |
Prime factors of 4428 are 2,3,41. Prime factorization of 4428 in exponential form is:
4428 = 22×33×411
∴ So by taking common prime factors GCF of 4422 and 4428 is 6
Factors of 4422
List of positive integer factors of 4422 that divides 4422 without a remainder.
1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
Factors of 4428
List of positive integer factors of 4428 that divides 4428 without a remainder.
1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Greatest Common Factor
We found the factors and prime factorization of 4422 and 4428. The biggest common factor number is the GCF number.
So the greatest common factor 4422 and 4428 is 6.
Also check out the Least Common Multiple of 4422 and 4428
(i) The GCF of 4422 and 4428 is associative
GCF of 4422 and 4428 = GCF of 4428 and 4422
1. What is the GCF of 4422 and 4428?
Answer: GCF of 4422 and 4428 is 6.
2. What are the Factors of 4422?
Answer: Factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422. There are 16 integers that are factors of 4422. The greatest factor of 4422 is 4422.
3. What are the Factors of 4428?
Answer: Factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428. There are 24 integers that are factors of 4428. The greatest factor of 4428 is 4428.
4. How to Find the GCF of 4422 and 4428?
Answer:
Greatest Common Factor of 4422 and 4428 = 6
Step 1: Find the prime factorization of 4422
4422 = 2 x 3 x 11 x 67
Step 2: Find the prime factorization of 4428
4428 = 2 x 2 x 3 x 3 x 3 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 4422 and 4428 is 6