Greatest Common Factor of 4280 and 4288

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 4280, 4288 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4280 and 4288 is 8.

GCF(4280,4288) = 8

GCF of 4280 and 4288

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

GCF of:
and

Greatest Common Factor of 4280 and 4288

GCF of 4280 and 4288 is 8

Prime Factorization of 4280


2 4280
2 2140
2 1070
5 535
107 107
1

Prime factors of 4280 are 2,5,107. Prime factorization of 4280 in exponential form is:

4280 = 23×51×1071

Prime Factorization of 4288


2 4288
2 2144
2 1072
2 536
2 268
2 134
67 67
1

Prime factors of 4288 are 2,67. Prime factorization of 4288 in exponential form is:

4288 = 26×671

∴ So by taking common prime factors GCF of 4280 and 4288 is 8

Greatest Common Factor of 4280 and 4288 by matching factors method

Factors of 4280

List of positive integer factors of 4280 that divides 4280 without a remainder.

1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280

Factors of 4288

List of positive integer factors of 4288 that divides 4288 without a remainder.

1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288

Greatest Common Factor

We found the factors and prime factorization of 4280 and 4288. The biggest common factor number is the GCF number.
So the greatest common factor 4280 and 4288 is 8.

Also check out the Least Common Multiple of 4280 and 4288

Properties of GCF 4280 and 4288

(i) The GCF of 4280 and 4288 is associative

GCF of 4280 and 4288 = GCF of 4288 and 4280

Related Greatest Common Factor of 4280

Related Greatest Common Factor of 4288

Frequently Asked Questions on GCF of 4280 and 4288

1. What is the GCF of 4280 and 4288?

Answer: GCF of 4280 and 4288 is 8.

2. What are the Factors of 4280?

Answer: Factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280. There are 16 integers that are factors of 4280. The greatest factor of 4280 is 4280.

3. What are the Factors of 4288?

Answer: Factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288. There are 14 integers that are factors of 4288. The greatest factor of 4288 is 4288.

4. How to Find the GCF of 4280 and 4288?

Answer:

Greatest Common Factor of 4280 and 4288 = 8

Step 1: Find the prime factorization of 4280

4280 = 2 x 2 x 2 x 5 x 107

Step 2: Find the prime factorization of 4288

4288 = 2 x 2 x 2 x 2 x 2 x 2 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4280 and 4288 is 8