Greatest Common Factor of 3962 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 3962, 3970 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3962 and 3970 is 2.

GCF(3962,3970) = 2

GCF of 3962 and 3970

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

GCF of:
and

Greatest Common Factor of 3962 and 3970

GCF of 3962 and 3970 is 2

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 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 3962 and 3970 is 2

Greatest Common Factor of 3962 and 3970 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 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 3962 and 3970. The biggest common factor number is the GCF number.
So the greatest common factor 3962 and 3970 is 2.

Also check out the Least Common Multiple of 3962 and 3970

Properties of GCF 3962 and 3970

(i) The GCF of 3962 and 3970 is associative

GCF of 3962 and 3970 = GCF of 3970 and 3962

Related Greatest Common Factor of 3962

Related Greatest Common Factor of 3970

Frequently Asked Questions on GCF of 3962 and 3970

1. What is the GCF of 3962 and 3970?

Answer: GCF of 3962 and 3970 is 2.

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 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 3962 and 3970?

Answer:

Greatest Common Factor of 3962 and 3970 = 2

Step 1: Find the prime factorization of 3962

3962 = 2 x 7 x 283

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 = 2

Step 4: Therefore, the greatest common factor of 3962 and 3970 is 2