Greatest Common Factor of 3975 and 3979

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 3975, 3979 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3975 and 3979 is 1.

GCF(3975,3979) = 1

GCF of 3975 and 3979

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

GCF of:
and

Greatest Common Factor of 3975 and 3979

GCF of 3975 and 3979 is 1

Prime Factorization of 3975


3 3975
5 1325
5 265
53 53
1

Prime factors of 3975 are 3,5,53. Prime factorization of 3975 in exponential form is:

3975 = 31×52×531

Prime Factorization of 3979


23 3979
173 173
1

Prime factors of 3979 are 23,173. Prime factorization of 3979 in exponential form is:

3979 = 231×1731

∴ So by taking common prime factors GCF of 3975 and 3979 is 1

Greatest Common Factor of 3975 and 3979 by matching factors method

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1,3,5,15,25,53,75,159,265,795,1325,3975

Factors of 3979

List of positive integer factors of 3979 that divides 3979 without a remainder.

1,23,173,3979

Greatest Common Factor

We found the factors and prime factorization of 3975 and 3979. The biggest common factor number is the GCF number.
So the greatest common factor 3975 and 3979 is 1.

Also check out the Least Common Multiple of 3975 and 3979

Properties of GCF 3975 and 3979

(i) The GCF of 3975 and 3979 is associative

GCF of 3975 and 3979 = GCF of 3979 and 3975

Related Greatest Common Factor of 3975

Related Greatest Common Factor of 3979

Frequently Asked Questions on GCF of 3975 and 3979

1. What is the GCF of 3975 and 3979?

Answer: GCF of 3975 and 3979 is 1.

2. What are the Factors of 3975?

Answer: Factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975. There are 12 integers that are factors of 3975. The greatest factor of 3975 is 3975.

3. What are the Factors of 3979?

Answer: Factors of 3979 are 1, 23, 173, 3979. There are 4 integers that are factors of 3979. The greatest factor of 3979 is 3979.

4. How to Find the GCF of 3975 and 3979?

Answer:

Greatest Common Factor of 3975 and 3979 = 1

Step 1: Find the prime factorization of 3975

3975 = 3 x 5 x 5 x 53

Step 2: Find the prime factorization of 3979

3979 = 23 x 173

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3975 and 3979 is 1