Greatest Common Factor of 8264 and 8270

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 8264, 8270 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8264 and 8270 is 2.

GCF(8264,8270) = 2

GCF of 8264 and 8270

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

GCF of:
and

Greatest Common Factor of 8264 and 8270

GCF of 8264 and 8270 is 2

Prime Factorization of 8264


2 8264
2 4132
2 2066
1033 1033
1

Prime factors of 8264 are 2,1033. Prime factorization of 8264 in exponential form is:

8264 = 23×10331

Prime Factorization of 8270


2 8270
5 4135
827 827
1

Prime factors of 8270 are 2,5,827. Prime factorization of 8270 in exponential form is:

8270 = 21×51×8271

∴ So by taking common prime factors GCF of 8264 and 8270 is 2

Greatest Common Factor of 8264 and 8270 by matching factors method

Factors of 8264

List of positive integer factors of 8264 that divides 8264 without a remainder.

1,2,4,8,1033,2066,4132,8264

Factors of 8270

List of positive integer factors of 8270 that divides 8270 without a remainder.

1,2,5,10,827,1654,4135,8270

Greatest Common Factor

We found the factors and prime factorization of 8264 and 8270. The biggest common factor number is the GCF number.
So the greatest common factor 8264 and 8270 is 2.

Also check out the Least Common Multiple of 8264 and 8270

Properties of GCF 8264 and 8270

(i) The GCF of 8264 and 8270 is associative

GCF of 8264 and 8270 = GCF of 8270 and 8264

Related Greatest Common Factor of 8264

Related Greatest Common Factor of 8270

Frequently Asked Questions on GCF of 8264 and 8270

1. What is the GCF of 8264 and 8270?

Answer: GCF of 8264 and 8270 is 2.

2. What are the Factors of 8264?

Answer: Factors of 8264 are 1, 2, 4, 8, 1033, 2066, 4132, 8264. There are 8 integers that are factors of 8264. The greatest factor of 8264 is 8264.

3. What are the Factors of 8270?

Answer: Factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270. There are 8 integers that are factors of 8270. The greatest factor of 8270 is 8270.

4. How to Find the GCF of 8264 and 8270?

Answer:

Greatest Common Factor of 8264 and 8270 = 2

Step 1: Find the prime factorization of 8264

8264 = 2 x 2 x 2 x 1033

Step 2: Find the prime factorization of 8270

8270 = 2 x 5 x 827

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 8264 and 8270 is 2