Greatest Common Factor of 6272 and 6279

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 6272, 6279 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6272 and 6279 is 7.

GCF(6272,6279) = 7

GCF of 6272 and 6279

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

GCF of:
and

Greatest Common Factor of 6272 and 6279

GCF of 6272 and 6279 is 7

Prime Factorization of 6272


2 6272
2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 6272 are 2,7. Prime factorization of 6272 in exponential form is:

6272 = 27×72

Prime Factorization of 6279


3 6279
7 2093
13 299
23 23
1

Prime factors of 6279 are 3,7,13,23. Prime factorization of 6279 in exponential form is:

6279 = 31×71×131×231

∴ So by taking common prime factors GCF of 6272 and 6279 is 7

Greatest Common Factor of 6272 and 6279 by matching factors method

Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272

Factors of 6279

List of positive integer factors of 6279 that divides 6279 without a remainder.

1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279

Greatest Common Factor

We found the factors and prime factorization of 6272 and 6279. The biggest common factor number is the GCF number.
So the greatest common factor 6272 and 6279 is 7.

Also check out the Least Common Multiple of 6272 and 6279

Properties of GCF 6272 and 6279

(i) The GCF of 6272 and 6279 is associative

GCF of 6272 and 6279 = GCF of 6279 and 6272

Related Greatest Common Factor of 6272

Related Greatest Common Factor of 6279

Frequently Asked Questions on GCF of 6272 and 6279

1. What is the GCF of 6272 and 6279?

Answer: GCF of 6272 and 6279 is 7.

2. What are the Factors of 6272?

Answer: Factors of 6272 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 392, 448, 784, 896, 1568, 3136, 6272. There are 24 integers that are factors of 6272. The greatest factor of 6272 is 6272.

3. What are the Factors of 6279?

Answer: Factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279. There are 16 integers that are factors of 6279. The greatest factor of 6279 is 6279.

4. How to Find the GCF of 6272 and 6279?

Answer:

Greatest Common Factor of 6272 and 6279 = 7

Step 1: Find the prime factorization of 6272

6272 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 6279

6279 = 3 x 7 x 13 x 23

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6272 and 6279 is 7