Greatest Common Factor of 4170 and 4175

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 4170, 4175 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4170 and 4175 is 5.

GCF(4170,4175) = 5

GCF of 4170 and 4175

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

GCF of:
and

Greatest Common Factor of 4170 and 4175

GCF of 4170 and 4175 is 5

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

Prime Factorization of 4175


5 4175
5 835
167 167
1

Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:

4175 = 52×1671

∴ So by taking common prime factors GCF of 4170 and 4175 is 5

Greatest Common Factor of 4170 and 4175 by matching factors method

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

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1,5,25,167,835,4175

Greatest Common Factor

We found the factors and prime factorization of 4170 and 4175. The biggest common factor number is the GCF number.
So the greatest common factor 4170 and 4175 is 5.

Also check out the Least Common Multiple of 4170 and 4175

Properties of GCF 4170 and 4175

(i) The GCF of 4170 and 4175 is associative

GCF of 4170 and 4175 = GCF of 4175 and 4170

Related Greatest Common Factor of 4170

Related Greatest Common Factor of 4175

Frequently Asked Questions on GCF of 4170 and 4175

1. What is the GCF of 4170 and 4175?

Answer: GCF of 4170 and 4175 is 5.

2. 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.

3. What are the Factors of 4175?

Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.

4. How to Find the GCF of 4170 and 4175?

Answer:

Greatest Common Factor of 4170 and 4175 = 5

Step 1: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

Step 2: Find the prime factorization of 4175

4175 = 5 x 5 x 167

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4170 and 4175 is 5