Greatest Common Factor of 3974 and 3980

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, 3980 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3974 and 3980 is 2.

GCF(3974,3980) = 2

GCF of 3974 and 3980

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

GCF of:
and

Greatest Common Factor of 3974 and 3980

GCF of 3974 and 3980 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 3980


2 3980
2 1990
5 995
199 199
1

Prime factors of 3980 are 2,5,199. Prime factorization of 3980 in exponential form is:

3980 = 22×51×1991

∴ So by taking common prime factors GCF of 3974 and 3980 is 2

Greatest Common Factor of 3974 and 3980 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 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1,2,4,5,10,20,199,398,796,995,1990,3980

Greatest Common Factor

We found the factors and prime factorization of 3974 and 3980. The biggest common factor number is the GCF number.
So the greatest common factor 3974 and 3980 is 2.

Also check out the Least Common Multiple of 3974 and 3980

Properties of GCF 3974 and 3980

(i) The GCF of 3974 and 3980 is associative

GCF of 3974 and 3980 = GCF of 3980 and 3974

Related Greatest Common Factor of 3974

Related Greatest Common Factor of 3980

Frequently Asked Questions on GCF of 3974 and 3980

1. What is the GCF of 3974 and 3980?

Answer: GCF of 3974 and 3980 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 3980?

Answer: Factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980. There are 12 integers that are factors of 3980. The greatest factor of 3980 is 3980.

4. How to Find the GCF of 3974 and 3980?

Answer:

Greatest Common Factor of 3974 and 3980 = 2

Step 1: Find the prime factorization of 3974

3974 = 2 x 1987

Step 2: Find the prime factorization of 3980

3980 = 2 x 2 x 5 x 199

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 3980 is 2