Greatest Common Factor of 3965 and 3970

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 3965, 3970 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3965 and 3970 is 5.

GCF(3965,3970) = 5

GCF of 3965 and 3970

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

GCF of:
and

Greatest Common Factor of 3965 and 3970

GCF of 3965 and 3970 is 5

Prime Factorization of 3965


5 3965
13 793
61 61
1

Prime factors of 3965 are 5,13,61. Prime factorization of 3965 in exponential form is:

3965 = 51×131×611

Prime Factorization of 3970


2 3970
5 1985
397 397
1

Prime factors of 3970 are 2,5,397. Prime factorization of 3970 in exponential form is:

3970 = 21×51×3971

∴ So by taking common prime factors GCF of 3965 and 3970 is 5

Greatest Common Factor of 3965 and 3970 by matching factors method

Factors of 3965

List of positive integer factors of 3965 that divides 3965 without a remainder.

1,5,13,61,65,305,793,3965

Factors of 3970

List of positive integer factors of 3970 that divides 3970 without a remainder.

1,2,5,10,397,794,1985,3970

Greatest Common Factor

We found the factors and prime factorization of 3965 and 3970. The biggest common factor number is the GCF number.
So the greatest common factor 3965 and 3970 is 5.

Also check out the Least Common Multiple of 3965 and 3970

Properties of GCF 3965 and 3970

(i) The GCF of 3965 and 3970 is associative

GCF of 3965 and 3970 = GCF of 3970 and 3965

Related Greatest Common Factor of 3965

Related Greatest Common Factor of 3970

Frequently Asked Questions on GCF of 3965 and 3970

1. What is the GCF of 3965 and 3970?

Answer: GCF of 3965 and 3970 is 5.

2. What are the Factors of 3965?

Answer: Factors of 3965 are 1, 5, 13, 61, 65, 305, 793, 3965. There are 8 integers that are factors of 3965. The greatest factor of 3965 is 3965.

3. What are the Factors of 3970?

Answer: Factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970. There are 8 integers that are factors of 3970. The greatest factor of 3970 is 3970.

4. How to Find the GCF of 3965 and 3970?

Answer:

Greatest Common Factor of 3965 and 3970 = 5

Step 1: Find the prime factorization of 3965

3965 = 5 x 13 x 61

Step 2: Find the prime factorization of 3970

3970 = 2 x 5 x 397

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 3965 and 3970 is 5