Greatest Common Factor of 4176 and 4184

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 4176, 4184 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4176 and 4184 is 8.

GCF(4176,4184) = 8

GCF of 4176 and 4184

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

GCF of:
and

Greatest Common Factor of 4176 and 4184

GCF of 4176 and 4184 is 8

Prime Factorization of 4176


2 4176
2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 4176 are 2,3,29. Prime factorization of 4176 in exponential form is:

4176 = 24×32×291

Prime Factorization of 4184


2 4184
2 2092
2 1046
523 523
1

Prime factors of 4184 are 2,523. Prime factorization of 4184 in exponential form is:

4184 = 23×5231

∴ So by taking common prime factors GCF of 4176 and 4184 is 8

Greatest Common Factor of 4176 and 4184 by matching factors method

Factors of 4176

List of positive integer factors of 4176 that divides 4176 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176

Factors of 4184

List of positive integer factors of 4184 that divides 4184 without a remainder.

1,2,4,8,523,1046,2092,4184

Greatest Common Factor

We found the factors and prime factorization of 4176 and 4184. The biggest common factor number is the GCF number.
So the greatest common factor 4176 and 4184 is 8.

Also check out the Least Common Multiple of 4176 and 4184

Properties of GCF 4176 and 4184

(i) The GCF of 4176 and 4184 is associative

GCF of 4176 and 4184 = GCF of 4184 and 4176

Related Greatest Common Factor of 4176

Related Greatest Common Factor of 4184

Frequently Asked Questions on GCF of 4176 and 4184

1. What is the GCF of 4176 and 4184?

Answer: GCF of 4176 and 4184 is 8.

2. What are the Factors of 4176?

Answer: Factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176. There are 30 integers that are factors of 4176. The greatest factor of 4176 is 4176.

3. What are the Factors of 4184?

Answer: Factors of 4184 are 1, 2, 4, 8, 523, 1046, 2092, 4184. There are 8 integers that are factors of 4184. The greatest factor of 4184 is 4184.

4. How to Find the GCF of 4176 and 4184?

Answer:

Greatest Common Factor of 4176 and 4184 = 8

Step 1: Find the prime factorization of 4176

4176 = 2 x 2 x 2 x 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 4184

4184 = 2 x 2 x 2 x 523

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4176 and 4184 is 8