Greatest Common Factor of 3945 and 3951

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 3945, 3951 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3945 and 3951 is 3.

GCF(3945,3951) = 3

GCF of 3945 and 3951

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

GCF of:
and

Greatest Common Factor of 3945 and 3951

GCF of 3945 and 3951 is 3

Prime Factorization of 3945


3 3945
5 1315
263 263
1

Prime factors of 3945 are 3,5,263. Prime factorization of 3945 in exponential form is:

3945 = 31×51×2631

Prime Factorization of 3951


3 3951
3 1317
439 439
1

Prime factors of 3951 are 3,439. Prime factorization of 3951 in exponential form is:

3951 = 32×4391

∴ So by taking common prime factors GCF of 3945 and 3951 is 3

Greatest Common Factor of 3945 and 3951 by matching factors method

Factors of 3945

List of positive integer factors of 3945 that divides 3945 without a remainder.

1,3,5,15,263,789,1315,3945

Factors of 3951

List of positive integer factors of 3951 that divides 3951 without a remainder.

1,3,9,439,1317,3951

Greatest Common Factor

We found the factors and prime factorization of 3945 and 3951. The biggest common factor number is the GCF number.
So the greatest common factor 3945 and 3951 is 3.

Also check out the Least Common Multiple of 3945 and 3951

Properties of GCF 3945 and 3951

(i) The GCF of 3945 and 3951 is associative

GCF of 3945 and 3951 = GCF of 3951 and 3945

Related Greatest Common Factor of 3945

Related Greatest Common Factor of 3951

Frequently Asked Questions on GCF of 3945 and 3951

1. What is the GCF of 3945 and 3951?

Answer: GCF of 3945 and 3951 is 3.

2. What are the Factors of 3945?

Answer: Factors of 3945 are 1, 3, 5, 15, 263, 789, 1315, 3945. There are 8 integers that are factors of 3945. The greatest factor of 3945 is 3945.

3. What are the Factors of 3951?

Answer: Factors of 3951 are 1, 3, 9, 439, 1317, 3951. There are 6 integers that are factors of 3951. The greatest factor of 3951 is 3951.

4. How to Find the GCF of 3945 and 3951?

Answer:

Greatest Common Factor of 3945 and 3951 = 3

Step 1: Find the prime factorization of 3945

3945 = 3 x 5 x 263

Step 2: Find the prime factorization of 3951

3951 = 3 x 3 x 439

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3945 and 3951 is 3