Greatest Common Factor of 3962 and 3969

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 3962, 3969 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3962 and 3969 is 7.

GCF(3962,3969) = 7

GCF of 3962 and 3969

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

GCF of:
and

Greatest Common Factor of 3962 and 3969

GCF of 3962 and 3969 is 7

Prime Factorization of 3962


2 3962
7 1981
283 283
1

Prime factors of 3962 are 2,7,283. Prime factorization of 3962 in exponential form is:

3962 = 21×71×2831

Prime Factorization of 3969


3 3969
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 3969 are 3,7. Prime factorization of 3969 in exponential form is:

3969 = 34×72

∴ So by taking common prime factors GCF of 3962 and 3969 is 7

Greatest Common Factor of 3962 and 3969 by matching factors method

Factors of 3962

List of positive integer factors of 3962 that divides 3962 without a remainder.

1,2,7,14,283,566,1981,3962

Factors of 3969

List of positive integer factors of 3969 that divides 3969 without a remainder.

1,3,7,9,21,27,49,63,81,147,189,441,567,1323,3969

Greatest Common Factor

We found the factors and prime factorization of 3962 and 3969. The biggest common factor number is the GCF number.
So the greatest common factor 3962 and 3969 is 7.

Also check out the Least Common Multiple of 3962 and 3969

Properties of GCF 3962 and 3969

(i) The GCF of 3962 and 3969 is associative

GCF of 3962 and 3969 = GCF of 3969 and 3962

Related Greatest Common Factor of 3962

Related Greatest Common Factor of 3969

Frequently Asked Questions on GCF of 3962 and 3969

1. What is the GCF of 3962 and 3969?

Answer: GCF of 3962 and 3969 is 7.

2. What are the Factors of 3962?

Answer: Factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962. There are 8 integers that are factors of 3962. The greatest factor of 3962 is 3962.

3. What are the Factors of 3969?

Answer: Factors of 3969 are 1, 3, 7, 9, 21, 27, 49, 63, 81, 147, 189, 441, 567, 1323, 3969. There are 15 integers that are factors of 3969. The greatest factor of 3969 is 3969.

4. How to Find the GCF of 3962 and 3969?

Answer:

Greatest Common Factor of 3962 and 3969 = 7

Step 1: Find the prime factorization of 3962

3962 = 2 x 7 x 283

Step 2: Find the prime factorization of 3969

3969 = 3 x 3 x 3 x 3 x 7 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3962 and 3969 is 7