Greatest Common Factor of 6164 and 6170

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 6164, 6170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6164 and 6170 is 2.

GCF(6164,6170) = 2

GCF of 6164 and 6170

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

GCF of:
and

Greatest Common Factor of 6164 and 6170

GCF of 6164 and 6170 is 2

Prime Factorization of 6164


2 6164
2 3082
23 1541
67 67
1

Prime factors of 6164 are 2,23,67. Prime factorization of 6164 in exponential form is:

6164 = 22×231×671

Prime Factorization of 6170


2 6170
5 3085
617 617
1

Prime factors of 6170 are 2,5,617. Prime factorization of 6170 in exponential form is:

6170 = 21×51×6171

∴ So by taking common prime factors GCF of 6164 and 6170 is 2

Greatest Common Factor of 6164 and 6170 by matching factors method

Factors of 6164

List of positive integer factors of 6164 that divides 6164 without a remainder.

1,2,4,23,46,67,92,134,268,1541,3082,6164

Factors of 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1,2,5,10,617,1234,3085,6170

Greatest Common Factor

We found the factors and prime factorization of 6164 and 6170. The biggest common factor number is the GCF number.
So the greatest common factor 6164 and 6170 is 2.

Also check out the Least Common Multiple of 6164 and 6170

Properties of GCF 6164 and 6170

(i) The GCF of 6164 and 6170 is associative

GCF of 6164 and 6170 = GCF of 6170 and 6164

Related Greatest Common Factor of 6164

Related Greatest Common Factor of 6170

Frequently Asked Questions on GCF of 6164 and 6170

1. What is the GCF of 6164 and 6170?

Answer: GCF of 6164 and 6170 is 2.

2. What are the Factors of 6164?

Answer: Factors of 6164 are 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541, 3082, 6164. There are 12 integers that are factors of 6164. The greatest factor of 6164 is 6164.

3. What are the Factors of 6170?

Answer: Factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170. There are 8 integers that are factors of 6170. The greatest factor of 6170 is 6170.

4. How to Find the GCF of 6164 and 6170?

Answer:

Greatest Common Factor of 6164 and 6170 = 2

Step 1: Find the prime factorization of 6164

6164 = 2 x 2 x 23 x 67

Step 2: Find the prime factorization of 6170

6170 = 2 x 5 x 617

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6164 and 6170 is 2