Greatest Common Factor of 4274 and 4280

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 4274, 4280 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4274 and 4280 is 2.

GCF(4274,4280) = 2

GCF of 4274 and 4280

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

GCF of:
and

Greatest Common Factor of 4274 and 4280

GCF of 4274 and 4280 is 2

Prime Factorization of 4274


2 4274
2137 2137
1

Prime factors of 4274 are 2,2137. Prime factorization of 4274 in exponential form is:

4274 = 21×21371

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

∴ So by taking common prime factors GCF of 4274 and 4280 is 2

Greatest Common Factor of 4274 and 4280 by matching factors method

Factors of 4274

List of positive integer factors of 4274 that divides 4274 without a remainder.

1,2,2137,4274

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

Greatest Common Factor

We found the factors and prime factorization of 4274 and 4280. The biggest common factor number is the GCF number.
So the greatest common factor 4274 and 4280 is 2.

Also check out the Least Common Multiple of 4274 and 4280

Properties of GCF 4274 and 4280

(i) The GCF of 4274 and 4280 is associative

GCF of 4274 and 4280 = GCF of 4280 and 4274

Related Greatest Common Factor of 4274

Related Greatest Common Factor of 4280

Frequently Asked Questions on GCF of 4274 and 4280

1. What is the GCF of 4274 and 4280?

Answer: GCF of 4274 and 4280 is 2.

2. What are the Factors of 4274?

Answer: Factors of 4274 are 1, 2, 2137, 4274. There are 4 integers that are factors of 4274. The greatest factor of 4274 is 4274.

3. 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.

4. How to Find the GCF of 4274 and 4280?

Answer:

Greatest Common Factor of 4274 and 4280 = 2

Step 1: Find the prime factorization of 4274

4274 = 2 x 2137

Step 2: Find the prime factorization of 4280

4280 = 2 x 2 x 2 x 5 x 107

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 4274 and 4280 is 2