Greatest Common Factor of 6671 and 6672

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 6671, 6672 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6671 and 6672 is 1.

GCF(6671,6672) = 1

GCF of 6671 and 6672

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

GCF of:
and

Greatest Common Factor of 6671 and 6672

GCF of 6671 and 6672 is 1

Prime Factorization of 6671


7 6671
953 953
1

Prime factors of 6671 are 7,953. Prime factorization of 6671 in exponential form is:

6671 = 71×9531

Prime Factorization of 6672


2 6672
2 3336
2 1668
2 834
3 417
139 139
1

Prime factors of 6672 are 2,3,139. Prime factorization of 6672 in exponential form is:

6672 = 24×31×1391

∴ So by taking common prime factors GCF of 6671 and 6672 is 1

Greatest Common Factor of 6671 and 6672 by matching factors method

Factors of 6671

List of positive integer factors of 6671 that divides 6671 without a remainder.

1,7,953,6671

Factors of 6672

List of positive integer factors of 6672 that divides 6672 without a remainder.

1,2,3,4,6,8,12,16,24,48,139,278,417,556,834,1112,1668,2224,3336,6672

Greatest Common Factor

We found the factors and prime factorization of 6671 and 6672. The biggest common factor number is the GCF number.
So the greatest common factor 6671 and 6672 is 1.

Also check out the Least Common Multiple of 6671 and 6672

Properties of GCF 6671 and 6672

(i) The GCF of 6671 and 6672 is associative

GCF of 6671 and 6672 = GCF of 6672 and 6671

Frequently Asked Questions on GCF of 6671 and 6672

1. What is the GCF of 6671 and 6672?

Answer: GCF of 6671 and 6672 is 1.

2. What are the Factors of 6671?

Answer: Factors of 6671 are 1, 7, 953, 6671. There are 4 integers that are factors of 6671. The greatest factor of 6671 is 6671.

3. What are the Factors of 6672?

Answer: Factors of 6672 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 6672. There are 20 integers that are factors of 6672. The greatest factor of 6672 is 6672.

4. How to Find the GCF of 6671 and 6672?

Answer:

Greatest Common Factor of 6671 and 6672 = 1

Step 1: Find the prime factorization of 6671

6671 = 7 x 953

Step 2: Find the prime factorization of 6672

6672 = 2 x 2 x 2 x 2 x 3 x 139

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 6671 and 6672 is 1