Greatest Common Factor of 8260 and 8264

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 8260, 8264 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8260 and 8264 is 4.

GCF(8260,8264) = 4

GCF of 8260 and 8264

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

GCF of:
and

Greatest Common Factor of 8260 and 8264

GCF of 8260 and 8264 is 4

Prime Factorization of 8260


2 8260
2 4130
5 2065
7 413
59 59
1

Prime factors of 8260 are 2,5,7,59. Prime factorization of 8260 in exponential form is:

8260 = 22×51×71×591

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

∴ So by taking common prime factors GCF of 8260 and 8264 is 4

Greatest Common Factor of 8260 and 8264 by matching factors method

Factors of 8260

List of positive integer factors of 8260 that divides 8260 without a remainder.

1,2,4,5,7,10,14,20,28,35,59,70,118,140,236,295,413,590,826,1180,1652,2065,4130,8260

Factors of 8264

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

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

Greatest Common Factor

We found the factors and prime factorization of 8260 and 8264. The biggest common factor number is the GCF number.
So the greatest common factor 8260 and 8264 is 4.

Also check out the Least Common Multiple of 8260 and 8264

Properties of GCF 8260 and 8264

(i) The GCF of 8260 and 8264 is associative

GCF of 8260 and 8264 = GCF of 8264 and 8260

Related Greatest Common Factor of 8260

Related Greatest Common Factor of 8264

Frequently Asked Questions on GCF of 8260 and 8264

1. What is the GCF of 8260 and 8264?

Answer: GCF of 8260 and 8264 is 4.

2. What are the Factors of 8260?

Answer: Factors of 8260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 59, 70, 118, 140, 236, 295, 413, 590, 826, 1180, 1652, 2065, 4130, 8260. There are 24 integers that are factors of 8260. The greatest factor of 8260 is 8260.

3. 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.

4. How to Find the GCF of 8260 and 8264?

Answer:

Greatest Common Factor of 8260 and 8264 = 4

Step 1: Find the prime factorization of 8260

8260 = 2 x 2 x 5 x 7 x 59

Step 2: Find the prime factorization of 8264

8264 = 2 x 2 x 2 x 1033

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 8260 and 8264 is 4