Greatest Common Factor of 6990 and 6992

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 6990, 6992 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6990 and 6992 is 2.

GCF(6990,6992) = 2

GCF of 6990 and 6992

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

GCF of:
and

Greatest Common Factor of 6990 and 6992

GCF of 6990 and 6992 is 2

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

Prime Factorization of 6992


2 6992
2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 6992 are 2,19,23. Prime factorization of 6992 in exponential form is:

6992 = 24×191×231

∴ So by taking common prime factors GCF of 6990 and 6992 is 2

Greatest Common Factor of 6990 and 6992 by matching factors method

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

Factors of 6992

List of positive integer factors of 6992 that divides 6992 without a remainder.

1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992

Greatest Common Factor

We found the factors and prime factorization of 6990 and 6992. The biggest common factor number is the GCF number.
So the greatest common factor 6990 and 6992 is 2.

Also check out the Least Common Multiple of 6990 and 6992

Properties of GCF 6990 and 6992

(i) The GCF of 6990 and 6992 is associative

GCF of 6990 and 6992 = GCF of 6992 and 6990

Related Greatest Common Factor of 6990

Related Greatest Common Factor of 6992

Frequently Asked Questions on GCF of 6990 and 6992

1. What is the GCF of 6990 and 6992?

Answer: GCF of 6990 and 6992 is 2.

2. 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.

3. What are the Factors of 6992?

Answer: Factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992. There are 20 integers that are factors of 6992. The greatest factor of 6992 is 6992.

4. How to Find the GCF of 6990 and 6992?

Answer:

Greatest Common Factor of 6990 and 6992 = 2

Step 1: Find the prime factorization of 6990

6990 = 2 x 3 x 5 x 233

Step 2: Find the prime factorization of 6992

6992 = 2 x 2 x 2 x 2 x 19 x 23

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 6990 and 6992 is 2