Greatest Common Factor of 6268 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 6268, 6272 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6268 and 6272 is 4.

GCF(6268,6272) = 4

GCF of 6268 and 6272

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

GCF of:
and

Greatest Common Factor of 6268 and 6272

GCF of 6268 and 6272 is 4

Prime Factorization of 6268


2 6268
2 3134
1567 1567
1

Prime factors of 6268 are 2,1567. Prime factorization of 6268 in exponential form is:

6268 = 22×15671

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 6268 and 6272 is 4

Greatest Common Factor of 6268 and 6272 by matching factors method

Factors of 6268

List of positive integer factors of 6268 that divides 6268 without a remainder.

1,2,4,1567,3134,6268

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 6268 and 6272. The biggest common factor number is the GCF number.
So the greatest common factor 6268 and 6272 is 4.

Also check out the Least Common Multiple of 6268 and 6272

Properties of GCF 6268 and 6272

(i) The GCF of 6268 and 6272 is associative

GCF of 6268 and 6272 = GCF of 6272 and 6268

Related Greatest Common Factor of 6268

Related Greatest Common Factor of 6272

Frequently Asked Questions on GCF of 6268 and 6272

1. What is the GCF of 6268 and 6272?

Answer: GCF of 6268 and 6272 is 4.

2. What are the Factors of 6268?

Answer: Factors of 6268 are 1, 2, 4, 1567, 3134, 6268. There are 6 integers that are factors of 6268. The greatest factor of 6268 is 6268.

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 6268 and 6272?

Answer:

Greatest Common Factor of 6268 and 6272 = 4

Step 1: Find the prime factorization of 6268

6268 = 2 x 2 x 1567

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 6268 and 6272 is 4