Greatest Common Factor of 3985 and 3986

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 3985, 3986 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3985 and 3986 is 1.

GCF(3985,3986) = 1

GCF of 3985 and 3986

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

GCF of:
and

Greatest Common Factor of 3985 and 3986

GCF of 3985 and 3986 is 1

Prime Factorization of 3985


5 3985
797 797
1

Prime factors of 3985 are 5,797. Prime factorization of 3985 in exponential form is:

3985 = 51×7971

Prime Factorization of 3986


2 3986
1993 1993
1

Prime factors of 3986 are 2,1993. Prime factorization of 3986 in exponential form is:

3986 = 21×19931

∴ So by taking common prime factors GCF of 3985 and 3986 is 1

Greatest Common Factor of 3985 and 3986 by matching factors method

Factors of 3985

List of positive integer factors of 3985 that divides 3985 without a remainder.

1,5,797,3985

Factors of 3986

List of positive integer factors of 3986 that divides 3986 without a remainder.

1,2,1993,3986

Greatest Common Factor

We found the factors and prime factorization of 3985 and 3986. The biggest common factor number is the GCF number.
So the greatest common factor 3985 and 3986 is 1.

Also check out the Least Common Multiple of 3985 and 3986

Properties of GCF 3985 and 3986

(i) The GCF of 3985 and 3986 is associative

GCF of 3985 and 3986 = GCF of 3986 and 3985

Frequently Asked Questions on GCF of 3985 and 3986

1. What is the GCF of 3985 and 3986?

Answer: GCF of 3985 and 3986 is 1.

2. What are the Factors of 3985?

Answer: Factors of 3985 are 1, 5, 797, 3985. There are 4 integers that are factors of 3985. The greatest factor of 3985 is 3985.

3. What are the Factors of 3986?

Answer: Factors of 3986 are 1, 2, 1993, 3986. There are 4 integers that are factors of 3986. The greatest factor of 3986 is 3986.

4. How to Find the GCF of 3985 and 3986?

Answer:

Greatest Common Factor of 3985 and 3986 = 1

Step 1: Find the prime factorization of 3985

3985 = 5 x 797

Step 2: Find the prime factorization of 3986

3986 = 2 x 1993

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 3985 and 3986 is 1