Greatest Common Factor of 4164 and 4172

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 4164, 4172 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4164 and 4172 is 4.

GCF(4164,4172) = 4

GCF of 4164 and 4172

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

GCF of:
and

Greatest Common Factor of 4164 and 4172

GCF of 4164 and 4172 is 4

Prime Factorization of 4164


2 4164
2 2082
3 1041
347 347
1

Prime factors of 4164 are 2,3,347. Prime factorization of 4164 in exponential form is:

4164 = 22×31×3471

Prime Factorization of 4172


2 4172
2 2086
7 1043
149 149
1

Prime factors of 4172 are 2,7,149. Prime factorization of 4172 in exponential form is:

4172 = 22×71×1491

∴ So by taking common prime factors GCF of 4164 and 4172 is 4

Greatest Common Factor of 4164 and 4172 by matching factors method

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Factors of 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1,2,4,7,14,28,149,298,596,1043,2086,4172

Greatest Common Factor

We found the factors and prime factorization of 4164 and 4172. The biggest common factor number is the GCF number.
So the greatest common factor 4164 and 4172 is 4.

Also check out the Least Common Multiple of 4164 and 4172

Properties of GCF 4164 and 4172

(i) The GCF of 4164 and 4172 is associative

GCF of 4164 and 4172 = GCF of 4172 and 4164

Related Greatest Common Factor of 4164

Related Greatest Common Factor of 4172

Frequently Asked Questions on GCF of 4164 and 4172

1. What is the GCF of 4164 and 4172?

Answer: GCF of 4164 and 4172 is 4.

2. What are the Factors of 4164?

Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.

3. What are the Factors of 4172?

Answer: Factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172. There are 12 integers that are factors of 4172. The greatest factor of 4172 is 4172.

4. How to Find the GCF of 4164 and 4172?

Answer:

Greatest Common Factor of 4164 and 4172 = 4

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

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 4164 and 4172 is 4