Greatest Common Factor of 3977 and 3982

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 3977, 3982 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3977 and 3982 is 1.

GCF(3977,3982) = 1

GCF of 3977 and 3982

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

GCF of:
and

Greatest Common Factor of 3977 and 3982

GCF of 3977 and 3982 is 1

Prime Factorization of 3977


41 3977
97 97
1

Prime factors of 3977 are 41,97. Prime factorization of 3977 in exponential form is:

3977 = 411×971

Prime Factorization of 3982


2 3982
11 1991
181 181
1

Prime factors of 3982 are 2,11,181. Prime factorization of 3982 in exponential form is:

3982 = 21×111×1811

∴ So by taking common prime factors GCF of 3977 and 3982 is 1

Greatest Common Factor of 3977 and 3982 by matching factors method

Factors of 3977

List of positive integer factors of 3977 that divides 3977 without a remainder.

1,41,97,3977

Factors of 3982

List of positive integer factors of 3982 that divides 3982 without a remainder.

1,2,11,22,181,362,1991,3982

Greatest Common Factor

We found the factors and prime factorization of 3977 and 3982. The biggest common factor number is the GCF number.
So the greatest common factor 3977 and 3982 is 1.

Also check out the Least Common Multiple of 3977 and 3982

Properties of GCF 3977 and 3982

(i) The GCF of 3977 and 3982 is associative

GCF of 3977 and 3982 = GCF of 3982 and 3977

Related Greatest Common Factor of 3977

Related Greatest Common Factor of 3982

Frequently Asked Questions on GCF of 3977 and 3982

1. What is the GCF of 3977 and 3982?

Answer: GCF of 3977 and 3982 is 1.

2. What are the Factors of 3977?

Answer: Factors of 3977 are 1, 41, 97, 3977. There are 4 integers that are factors of 3977. The greatest factor of 3977 is 3977.

3. What are the Factors of 3982?

Answer: Factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982. There are 8 integers that are factors of 3982. The greatest factor of 3982 is 3982.

4. How to Find the GCF of 3977 and 3982?

Answer:

Greatest Common Factor of 3977 and 3982 = 1

Step 1: Find the prime factorization of 3977

3977 = 41 x 97

Step 2: Find the prime factorization of 3982

3982 = 2 x 11 x 181

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3977 and 3982 is 1