Greatest Common Factor of 3974 and 3978

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 3974, 3978 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3974 and 3978 is 2.

GCF(3974,3978) = 2

GCF of 3974 and 3978

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

GCF of:
and

Greatest Common Factor of 3974 and 3978

GCF of 3974 and 3978 is 2

Prime Factorization of 3974


2 3974
1987 1987
1

Prime factors of 3974 are 2,1987. Prime factorization of 3974 in exponential form is:

3974 = 21×19871

Prime Factorization of 3978


2 3978
3 1989
3 663
13 221
17 17
1

Prime factors of 3978 are 2,3,13,17. Prime factorization of 3978 in exponential form is:

3978 = 21×32×131×171

∴ So by taking common prime factors GCF of 3974 and 3978 is 2

Greatest Common Factor of 3974 and 3978 by matching factors method

Factors of 3974

List of positive integer factors of 3974 that divides 3974 without a remainder.

1,2,1987,3974

Factors of 3978

List of positive integer factors of 3978 that divides 3978 without a remainder.

1,2,3,6,9,13,17,18,26,34,39,51,78,102,117,153,221,234,306,442,663,1326,1989,3978

Greatest Common Factor

We found the factors and prime factorization of 3974 and 3978. The biggest common factor number is the GCF number.
So the greatest common factor 3974 and 3978 is 2.

Also check out the Least Common Multiple of 3974 and 3978

Properties of GCF 3974 and 3978

(i) The GCF of 3974 and 3978 is associative

GCF of 3974 and 3978 = GCF of 3978 and 3974

Related Greatest Common Factor of 3974

Related Greatest Common Factor of 3978

Frequently Asked Questions on GCF of 3974 and 3978

1. What is the GCF of 3974 and 3978?

Answer: GCF of 3974 and 3978 is 2.

2. What are the Factors of 3974?

Answer: Factors of 3974 are 1, 2, 1987, 3974. There are 4 integers that are factors of 3974. The greatest factor of 3974 is 3974.

3. What are the Factors of 3978?

Answer: Factors of 3978 are 1, 2, 3, 6, 9, 13, 17, 18, 26, 34, 39, 51, 78, 102, 117, 153, 221, 234, 306, 442, 663, 1326, 1989, 3978. There are 24 integers that are factors of 3978. The greatest factor of 3978 is 3978.

4. How to Find the GCF of 3974 and 3978?

Answer:

Greatest Common Factor of 3974 and 3978 = 2

Step 1: Find the prime factorization of 3974

3974 = 2 x 1987

Step 2: Find the prime factorization of 3978

3978 = 2 x 3 x 3 x 13 x 17

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 3974 and 3978 is 2