Greatest Common Factor of 4416 and 4422

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 4416, 4422 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4416 and 4422 is 6.

GCF(4416,4422) = 6

GCF of 4416 and 4422

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4416 and 4422

GCF of 4416 and 4422 is 6

Prime Factorization of 4416


2 4416
2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 4416 are 2,3,23. Prime factorization of 4416 in exponential form is:

4416 = 26×31×231

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

∴ So by taking common prime factors GCF of 4416 and 4422 is 6

Greatest Common Factor of 4416 and 4422 by matching factors method

Factors of 4416

List of positive integer factors of 4416 that divides 4416 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416

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

Greatest Common Factor

We found the factors and prime factorization of 4416 and 4422. The biggest common factor number is the GCF number.
So the greatest common factor 4416 and 4422 is 6.

Also check out the Least Common Multiple of 4416 and 4422

Properties of GCF 4416 and 4422

(i) The GCF of 4416 and 4422 is associative

GCF of 4416 and 4422 = GCF of 4422 and 4416

Related Greatest Common Factor of 4416

Related Greatest Common Factor of 4422

Frequently Asked Questions on GCF of 4416 and 4422

1. What is the GCF of 4416 and 4422?

Answer: GCF of 4416 and 4422 is 6.

2. What are the Factors of 4416?

Answer: Factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416. There are 28 integers that are factors of 4416. The greatest factor of 4416 is 4416.

3. 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.

4. How to Find the GCF of 4416 and 4422?

Answer:

Greatest Common Factor of 4416 and 4422 = 6

Step 1: Find the prime factorization of 4416

4416 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 4422

4422 = 2 x 3 x 11 x 67

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 4416 and 4422 is 6