Greatest Common Factor of 274 and 276

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 274, 276 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 274 and 276 is 2.

GCF(274,276) = 2

GCF of 274 and 276

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

GCF of:
and

Greatest Common Factor of 274 and 276

GCF of 274 and 276 is 2

Prime Factorization of 274


2 274
137 137
1

Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:

274 = 21×1371

Prime Factorization of 276


2 276
2 138
3 69
23 23
1

Prime factors of 276 are 2,3,23. Prime factorization of 276 in exponential form is:

276 = 22×31×231

∴ So by taking common prime factors GCF of 274 and 276 is 2

Greatest Common Factor of 274 and 276 by matching factors method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors and prime factorization of 274 and 276. The biggest common factor number is the GCF number.
So the greatest common factor 274 and 276 is 2.

Also check out the Least Common Multiple of 274 and 276

Properties of GCF 274 and 276

(i) The GCF of 274 and 276 is associative

GCF of 274 and 276 = GCF of 276 and 274

Related Greatest Common Factor of 274

Related Greatest Common Factor of 276

Frequently Asked Questions on GCF of 274 and 276

1. What is the GCF of 274 and 276?

Answer: GCF of 274 and 276 is 2.

2. What are the Factors of 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

3. What are the Factors of 276?

Answer: Factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276. There are 12 integers that are factors of 276. The greatest factor of 276 is 276.

4. How to Find the GCF of 274 and 276?

Answer:

Greatest Common Factor of 274 and 276 = 2

Step 1: Find the prime factorization of 274

274 = 2 x 137

Step 2: Find the prime factorization of 276

276 = 2 x 2 x 3 x 23

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 274 and 276 is 2