Greatest Common Factor of 10274 and 10278

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 10274, 10278 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10274 and 10278 is 2.

GCF(10274,10278) = 2

GCF of 10274 and 10278

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

GCF of:
and

Greatest Common Factor of 10274 and 10278

GCF of 10274 and 10278 is 2

Prime Factorization of 10274


2 10274
11 5137
467 467
1

Prime factors of 10274 are 2,11,467. Prime factorization of 10274 in exponential form is:

10274 = 21×111×4671

Prime Factorization of 10278


2 10278
3 5139
3 1713
571 571
1

Prime factors of 10278 are 2,3,571. Prime factorization of 10278 in exponential form is:

10278 = 21×32×5711

∴ So by taking common prime factors GCF of 10274 and 10278 is 2

Greatest Common Factor of 10274 and 10278 by matching factors method

Factors of 10274

List of positive integer factors of 10274 that divides 10274 without a remainder.

1,2,11,22,467,934,5137,10274

Factors of 10278

List of positive integer factors of 10278 that divides 10278 without a remainder.

1,2,3,6,9,18,571,1142,1713,3426,5139,10278

Greatest Common Factor

We found the factors and prime factorization of 10274 and 10278. The biggest common factor number is the GCF number.
So the greatest common factor 10274 and 10278 is 2.

Also check out the Least Common Multiple of 10274 and 10278

Properties of GCF 10274 and 10278

(i) The GCF of 10274 and 10278 is associative

GCF of 10274 and 10278 = GCF of 10278 and 10274

Related Greatest Common Factor of 10274

Related Greatest Common Factor of 10278

Frequently Asked Questions on GCF of 10274 and 10278

1. What is the GCF of 10274 and 10278?

Answer: GCF of 10274 and 10278 is 2.

2. What are the Factors of 10274?

Answer: Factors of 10274 are 1, 2, 11, 22, 467, 934, 5137, 10274. There are 8 integers that are factors of 10274. The greatest factor of 10274 is 10274.

3. What are the Factors of 10278?

Answer: Factors of 10278 are 1, 2, 3, 6, 9, 18, 571, 1142, 1713, 3426, 5139, 10278. There are 12 integers that are factors of 10278. The greatest factor of 10278 is 10278.

4. How to Find the GCF of 10274 and 10278?

Answer:

Greatest Common Factor of 10274 and 10278 = 2

Step 1: Find the prime factorization of 10274

10274 = 2 x 11 x 467

Step 2: Find the prime factorization of 10278

10278 = 2 x 3 x 3 x 571

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 10274 and 10278 is 2