Greatest Common Factor of 4070 and 4075

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 4070, 4075 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4070 and 4075 is 5.

GCF(4070,4075) = 5

GCF of 4070 and 4075

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

GCF of:
and

Greatest Common Factor of 4070 and 4075

GCF of 4070 and 4075 is 5

Prime Factorization of 4070


2 4070
5 2035
11 407
37 37
1

Prime factors of 4070 are 2,5,11,37. Prime factorization of 4070 in exponential form is:

4070 = 21×51×111×371

Prime Factorization of 4075


5 4075
5 815
163 163
1

Prime factors of 4075 are 5,163. Prime factorization of 4075 in exponential form is:

4075 = 52×1631

∴ So by taking common prime factors GCF of 4070 and 4075 is 5

Greatest Common Factor of 4070 and 4075 by matching factors method

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Factors of 4075

List of positive integer factors of 4075 that divides 4075 without a remainder.

1,5,25,163,815,4075

Greatest Common Factor

We found the factors and prime factorization of 4070 and 4075. The biggest common factor number is the GCF number.
So the greatest common factor 4070 and 4075 is 5.

Also check out the Least Common Multiple of 4070 and 4075

Properties of GCF 4070 and 4075

(i) The GCF of 4070 and 4075 is associative

GCF of 4070 and 4075 = GCF of 4075 and 4070

Related Greatest Common Factor of 4070

Related Greatest Common Factor of 4075

Frequently Asked Questions on GCF of 4070 and 4075

1. What is the GCF of 4070 and 4075?

Answer: GCF of 4070 and 4075 is 5.

2. What are the Factors of 4070?

Answer: Factors of 4070 are 1, 2, 5, 10, 11, 22, 37, 55, 74, 110, 185, 370, 407, 814, 2035, 4070. There are 16 integers that are factors of 4070. The greatest factor of 4070 is 4070.

3. What are the Factors of 4075?

Answer: Factors of 4075 are 1, 5, 25, 163, 815, 4075. There are 6 integers that are factors of 4075. The greatest factor of 4075 is 4075.

4. How to Find the GCF of 4070 and 4075?

Answer:

Greatest Common Factor of 4070 and 4075 = 5

Step 1: Find the prime factorization of 4070

4070 = 2 x 5 x 11 x 37

Step 2: Find the prime factorization of 4075

4075 = 5 x 5 x 163

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 4070 and 4075 is 5