Greatest Common Factor of 4274 and 4276

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, 4276 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4274 and 4276 is 2.

GCF(4274,4276) = 2

GCF of 4274 and 4276

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

GCF of:
and

Greatest Common Factor of 4274 and 4276

GCF of 4274 and 4276 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 4276


2 4276
2 2138
1069 1069
1

Prime factors of 4276 are 2,1069. Prime factorization of 4276 in exponential form is:

4276 = 22×10691

∴ So by taking common prime factors GCF of 4274 and 4276 is 2

Greatest Common Factor of 4274 and 4276 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 4276

List of positive integer factors of 4276 that divides 4276 without a remainder.

1,2,4,1069,2138,4276

Greatest Common Factor

We found the factors and prime factorization of 4274 and 4276. The biggest common factor number is the GCF number.
So the greatest common factor 4274 and 4276 is 2.

Also check out the Least Common Multiple of 4274 and 4276

Properties of GCF 4274 and 4276

(i) The GCF of 4274 and 4276 is associative

GCF of 4274 and 4276 = GCF of 4276 and 4274

Related Greatest Common Factor of 4274

Related Greatest Common Factor of 4276

Frequently Asked Questions on GCF of 4274 and 4276

1. What is the GCF of 4274 and 4276?

Answer: GCF of 4274 and 4276 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 4276?

Answer: Factors of 4276 are 1, 2, 4, 1069, 2138, 4276. There are 6 integers that are factors of 4276. The greatest factor of 4276 is 4276.

4. How to Find the GCF of 4274 and 4276?

Answer:

Greatest Common Factor of 4274 and 4276 = 2

Step 1: Find the prime factorization of 4274

4274 = 2 x 2137

Step 2: Find the prime factorization of 4276

4276 = 2 x 2 x 1069

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 4276 is 2