Greatest Common Factor of 6270 and 6272

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 6270, 6272 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6270 and 6272 is 2.

GCF(6270,6272) = 2

GCF of 6270 and 6272

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

GCF of:
and

Greatest Common Factor of 6270 and 6272

GCF of 6270 and 6272 is 2

Prime Factorization of 6270


2 6270
3 3135
5 1045
11 209
19 19
1

Prime factors of 6270 are 2,3,5,11,19. Prime factorization of 6270 in exponential form is:

6270 = 21×31×51×111×191

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

∴ So by taking common prime factors GCF of 6270 and 6272 is 2

Greatest Common Factor of 6270 and 6272 by matching factors method

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

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

Greatest Common Factor

We found the factors and prime factorization of 6270 and 6272. The biggest common factor number is the GCF number.
So the greatest common factor 6270 and 6272 is 2.

Also check out the Least Common Multiple of 6270 and 6272

Properties of GCF 6270 and 6272

(i) The GCF of 6270 and 6272 is associative

GCF of 6270 and 6272 = GCF of 6272 and 6270

Related Greatest Common Factor of 6270

Related Greatest Common Factor of 6272

Frequently Asked Questions on GCF of 6270 and 6272

1. What is the GCF of 6270 and 6272?

Answer: GCF of 6270 and 6272 is 2.

2. What are the Factors of 6270?

Answer: Factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270. There are 32 integers that are factors of 6270. The greatest factor of 6270 is 6270.

3. 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.

4. How to Find the GCF of 6270 and 6272?

Answer:

Greatest Common Factor of 6270 and 6272 = 2

Step 1: Find the prime factorization of 6270

6270 = 2 x 3 x 5 x 11 x 19

Step 2: 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 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 6270 and 6272 is 2