Greatest Common Factor of 8272 and 8274

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 8272, 8274 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8272 and 8274 is 2.

GCF(8272,8274) = 2

GCF of 8272 and 8274

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

GCF of:
and

Greatest Common Factor of 8272 and 8274

GCF of 8272 and 8274 is 2

Prime Factorization of 8272


2 8272
2 4136
2 2068
2 1034
11 517
47 47
1

Prime factors of 8272 are 2,11,47. Prime factorization of 8272 in exponential form is:

8272 = 24×111×471

Prime Factorization of 8274


2 8274
3 4137
7 1379
197 197
1

Prime factors of 8274 are 2,3,7,197. Prime factorization of 8274 in exponential form is:

8274 = 21×31×71×1971

∴ So by taking common prime factors GCF of 8272 and 8274 is 2

Greatest Common Factor of 8272 and 8274 by matching factors method

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Factors of 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274

Greatest Common Factor

We found the factors and prime factorization of 8272 and 8274. The biggest common factor number is the GCF number.
So the greatest common factor 8272 and 8274 is 2.

Also check out the Least Common Multiple of 8272 and 8274

Properties of GCF 8272 and 8274

(i) The GCF of 8272 and 8274 is associative

GCF of 8272 and 8274 = GCF of 8274 and 8272

Related Greatest Common Factor of 8272

Related Greatest Common Factor of 8274

Frequently Asked Questions on GCF of 8272 and 8274

1. What is the GCF of 8272 and 8274?

Answer: GCF of 8272 and 8274 is 2.

2. What are the Factors of 8272?

Answer: Factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272. There are 20 integers that are factors of 8272. The greatest factor of 8272 is 8272.

3. What are the Factors of 8274?

Answer: Factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274. There are 16 integers that are factors of 8274. The greatest factor of 8274 is 8274.

4. How to Find the GCF of 8272 and 8274?

Answer:

Greatest Common Factor of 8272 and 8274 = 2

Step 1: Find the prime factorization of 8272

8272 = 2 x 2 x 2 x 2 x 11 x 47

Step 2: Find the prime factorization of 8274

8274 = 2 x 3 x 7 x 197

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 8272 and 8274 is 2