Greatest Common Factor of 6982 and 6985

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 6982, 6985 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6982 and 6985 is 1.

GCF(6982,6985) = 1

GCF of 6982 and 6985

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

GCF of:
and

Greatest Common Factor of 6982 and 6985

GCF of 6982 and 6985 is 1

Prime Factorization of 6982


2 6982
3491 3491
1

Prime factors of 6982 are 2,3491. Prime factorization of 6982 in exponential form is:

6982 = 21×34911

Prime Factorization of 6985


5 6985
11 1397
127 127
1

Prime factors of 6985 are 5,11,127. Prime factorization of 6985 in exponential form is:

6985 = 51×111×1271

∴ So by taking common prime factors GCF of 6982 and 6985 is 1

Greatest Common Factor of 6982 and 6985 by matching factors method

Factors of 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1,2,3491,6982

Factors of 6985

List of positive integer factors of 6985 that divides 6985 without a remainder.

1,5,11,55,127,635,1397,6985

Greatest Common Factor

We found the factors and prime factorization of 6982 and 6985. The biggest common factor number is the GCF number.
So the greatest common factor 6982 and 6985 is 1.

Also check out the Least Common Multiple of 6982 and 6985

Properties of GCF 6982 and 6985

(i) The GCF of 6982 and 6985 is associative

GCF of 6982 and 6985 = GCF of 6985 and 6982

Related Greatest Common Factor of 6982

Related Greatest Common Factor of 6985

Frequently Asked Questions on GCF of 6982 and 6985

1. What is the GCF of 6982 and 6985?

Answer: GCF of 6982 and 6985 is 1.

2. What are the Factors of 6982?

Answer: Factors of 6982 are 1, 2, 3491, 6982. There are 4 integers that are factors of 6982. The greatest factor of 6982 is 6982.

3. What are the Factors of 6985?

Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.

4. How to Find the GCF of 6982 and 6985?

Answer:

Greatest Common Factor of 6982 and 6985 = 1

Step 1: Find the prime factorization of 6982

6982 = 2 x 3491

Step 2: Find the prime factorization of 6985

6985 = 5 x 11 x 127

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 6982 and 6985 is 1