Greatest Common Factor of 278 and 280

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 278, 280 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 278 and 280 is 2.

GCF(278,280) = 2

GCF of 278 and 280

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

GCF of:
and

Greatest Common Factor of 278 and 280

GCF of 278 and 280 is 2

Prime Factorization of 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

Prime Factorization of 280


2 280
2 140
2 70
5 35
7 7
1

Prime factors of 280 are 2,5,7. Prime factorization of 280 in exponential form is:

280 = 23×51×71

∴ So by taking common prime factors GCF of 278 and 280 is 2

Greatest Common Factor of 278 and 280 by matching factors method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors and prime factorization of 278 and 280. The biggest common factor number is the GCF number.
So the greatest common factor 278 and 280 is 2.

Also check out the Least Common Multiple of 278 and 280

Properties of GCF 278 and 280

(i) The GCF of 278 and 280 is associative

GCF of 278 and 280 = GCF of 280 and 278

Related Greatest Common Factor of 278

Related Greatest Common Factor of 280

Frequently Asked Questions on GCF of 278 and 280

1. What is the GCF of 278 and 280?

Answer: GCF of 278 and 280 is 2.

2. What are the Factors of 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

3. What are the Factors of 280?

Answer: Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. There are 16 integers that are factors of 280. The greatest factor of 280 is 280.

4. How to Find the GCF of 278 and 280?

Answer:

Greatest Common Factor of 278 and 280 = 2

Step 1: Find the prime factorization of 278

278 = 2 x 139

Step 2: Find the prime factorization of 280

280 = 2 x 2 x 2 x 5 x 7

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 278 and 280 is 2