Greatest Common Factor of 4164 and 4170

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, 4170 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4164 and 4170 is 6.

GCF(4164,4170) = 6

GCF of 4164 and 4170

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

GCF of:
and

Greatest Common Factor of 4164 and 4170

GCF of 4164 and 4170 is 6

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 4170


2 4170
3 2085
5 695
139 139
1

Prime factors of 4170 are 2,3,5,139. Prime factorization of 4170 in exponential form is:

4170 = 21×31×51×1391

∴ So by taking common prime factors GCF of 4164 and 4170 is 6

Greatest Common Factor of 4164 and 4170 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 4170

List of positive integer factors of 4170 that divides 4170 without a remainder.

1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170

Greatest Common Factor

We found the factors and prime factorization of 4164 and 4170. The biggest common factor number is the GCF number.
So the greatest common factor 4164 and 4170 is 6.

Also check out the Least Common Multiple of 4164 and 4170

Properties of GCF 4164 and 4170

(i) The GCF of 4164 and 4170 is associative

GCF of 4164 and 4170 = GCF of 4170 and 4164

Related Greatest Common Factor of 4164

Related Greatest Common Factor of 4170

Frequently Asked Questions on GCF of 4164 and 4170

1. What is the GCF of 4164 and 4170?

Answer: GCF of 4164 and 4170 is 6.

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 4170?

Answer: Factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170. There are 16 integers that are factors of 4170. The greatest factor of 4170 is 4170.

4. How to Find the GCF of 4164 and 4170?

Answer:

Greatest Common Factor of 4164 and 4170 = 6

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

Step 2: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

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 4164 and 4170 is 6