Greatest Common Factor of 6985 and 6990

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 6985, 6990 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6985 and 6990 is 5.

GCF(6985,6990) = 5

GCF of 6985 and 6990

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

GCF of:
and

Greatest Common Factor of 6985 and 6990

GCF of 6985 and 6990 is 5

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

Prime Factorization of 6990


2 6990
3 3495
5 1165
233 233
1

Prime factors of 6990 are 2,3,5,233. Prime factorization of 6990 in exponential form is:

6990 = 21×31×51×2331

∴ So by taking common prime factors GCF of 6985 and 6990 is 5

Greatest Common Factor of 6985 and 6990 by matching factors method

Factors of 6985

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

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

Factors of 6990

List of positive integer factors of 6990 that divides 6990 without a remainder.

1,2,3,5,6,10,15,30,233,466,699,1165,1398,2330,3495,6990

Greatest Common Factor

We found the factors and prime factorization of 6985 and 6990. The biggest common factor number is the GCF number.
So the greatest common factor 6985 and 6990 is 5.

Also check out the Least Common Multiple of 6985 and 6990

Properties of GCF 6985 and 6990

(i) The GCF of 6985 and 6990 is associative

GCF of 6985 and 6990 = GCF of 6990 and 6985

Related Greatest Common Factor of 6985

Related Greatest Common Factor of 6990

Frequently Asked Questions on GCF of 6985 and 6990

1. What is the GCF of 6985 and 6990?

Answer: GCF of 6985 and 6990 is 5.

2. 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.

3. What are the Factors of 6990?

Answer: Factors of 6990 are 1, 2, 3, 5, 6, 10, 15, 30, 233, 466, 699, 1165, 1398, 2330, 3495, 6990. There are 16 integers that are factors of 6990. The greatest factor of 6990 is 6990.

4. How to Find the GCF of 6985 and 6990?

Answer:

Greatest Common Factor of 6985 and 6990 = 5

Step 1: Find the prime factorization of 6985

6985 = 5 x 11 x 127

Step 2: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6985 and 6990 is 5