Greatest Common Factor of 6950 and 6951

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 6950, 6951 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6950 and 6951 is 1.

GCF(6950,6951) = 1

GCF of 6950 and 6951

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

GCF of:
and

Greatest Common Factor of 6950 and 6951

GCF of 6950 and 6951 is 1

Prime Factorization of 6950


2 6950
5 3475
5 695
139 139
1

Prime factors of 6950 are 2,5,139. Prime factorization of 6950 in exponential form is:

6950 = 21×52×1391

Prime Factorization of 6951


3 6951
7 2317
331 331
1

Prime factors of 6951 are 3,7,331. Prime factorization of 6951 in exponential form is:

6951 = 31×71×3311

∴ So by taking common prime factors GCF of 6950 and 6951 is 1

Greatest Common Factor of 6950 and 6951 by matching factors method

Factors of 6950

List of positive integer factors of 6950 that divides 6950 without a remainder.

1,2,5,10,25,50,139,278,695,1390,3475,6950

Factors of 6951

List of positive integer factors of 6951 that divides 6951 without a remainder.

1,3,7,21,331,993,2317,6951

Greatest Common Factor

We found the factors and prime factorization of 6950 and 6951. The biggest common factor number is the GCF number.
So the greatest common factor 6950 and 6951 is 1.

Also check out the Least Common Multiple of 6950 and 6951

Properties of GCF 6950 and 6951

(i) The GCF of 6950 and 6951 is associative

GCF of 6950 and 6951 = GCF of 6951 and 6950

Related Greatest Common Factor of 6950

Related Greatest Common Factor of 6951

Frequently Asked Questions on GCF of 6950 and 6951

1. What is the GCF of 6950 and 6951?

Answer: GCF of 6950 and 6951 is 1.

2. What are the Factors of 6950?

Answer: Factors of 6950 are 1, 2, 5, 10, 25, 50, 139, 278, 695, 1390, 3475, 6950. There are 12 integers that are factors of 6950. The greatest factor of 6950 is 6950.

3. What are the Factors of 6951?

Answer: Factors of 6951 are 1, 3, 7, 21, 331, 993, 2317, 6951. There are 8 integers that are factors of 6951. The greatest factor of 6951 is 6951.

4. How to Find the GCF of 6950 and 6951?

Answer:

Greatest Common Factor of 6950 and 6951 = 1

Step 1: Find the prime factorization of 6950

6950 = 2 x 5 x 5 x 139

Step 2: Find the prime factorization of 6951

6951 = 3 x 7 x 331

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 6950 and 6951 is 1