Greatest Common Factor of 6272 and 6276

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, 6276 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6272 and 6276 is 4.

GCF(6272,6276) = 4

GCF of 6272 and 6276

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

GCF of:
and

Greatest Common Factor of 6272 and 6276

GCF of 6272 and 6276 is 4

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 6276


2 6276
2 3138
3 1569
523 523
1

Prime factors of 6276 are 2,3,523. Prime factorization of 6276 in exponential form is:

6276 = 22×31×5231

∴ So by taking common prime factors GCF of 6272 and 6276 is 4

Greatest Common Factor of 6272 and 6276 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 6276

List of positive integer factors of 6276 that divides 6276 without a remainder.

1,2,3,4,6,12,523,1046,1569,2092,3138,6276

Greatest Common Factor

We found the factors and prime factorization of 6272 and 6276. The biggest common factor number is the GCF number.
So the greatest common factor 6272 and 6276 is 4.

Also check out the Least Common Multiple of 6272 and 6276

Properties of GCF 6272 and 6276

(i) The GCF of 6272 and 6276 is associative

GCF of 6272 and 6276 = GCF of 6276 and 6272

Related Greatest Common Factor of 6272

Related Greatest Common Factor of 6276

Frequently Asked Questions on GCF of 6272 and 6276

1. What is the GCF of 6272 and 6276?

Answer: GCF of 6272 and 6276 is 4.

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 6276?

Answer: Factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276. There are 12 integers that are factors of 6276. The greatest factor of 6276 is 6276.

4. How to Find the GCF of 6272 and 6276?

Answer:

Greatest Common Factor of 6272 and 6276 = 4

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 6276

6276 = 2 x 2 x 3 x 523

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 6272 and 6276 is 4