Greatest Common Factor of 278 and 283

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, 283 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 278 and 283 is 1.

GCF(278,283) = 1

GCF of 278 and 283

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

GCF of:
and

Greatest Common Factor of 278 and 283

GCF of 278 and 283 is 1

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 283


283 283
1

Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:

283 = 2831

∴ So by taking common prime factors GCF of 278 and 283 is 1

Greatest Common Factor of 278 and 283 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 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors and prime factorization of 278 and 283. The biggest common factor number is the GCF number.
So the greatest common factor 278 and 283 is 1.

Also check out the Least Common Multiple of 278 and 283

Properties of GCF 278 and 283

(i) The GCF of 278 and 283 is associative

GCF of 278 and 283 = GCF of 283 and 278

Related Greatest Common Factor of 278

Related Greatest Common Factor of 283

Frequently Asked Questions on GCF of 278 and 283

1. What is the GCF of 278 and 283?

Answer: GCF of 278 and 283 is 1.

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 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

4. How to Find the GCF of 278 and 283?

Answer:

Greatest Common Factor of 278 and 283 = 1

Step 1: Find the prime factorization of 278

278 = 2 x 139

Step 2: Find the prime factorization of 283

283 = 283

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 278 and 283 is 1