Greatest Common Factor of 249 and 250

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 249, 250 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 249 and 250 is 1.

GCF(249,250) = 1

GCF of 249 and 250

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

GCF of:
and

Greatest Common Factor of 249 and 250

GCF of 249 and 250 is 1

Prime Factorization of 249


3 249
83 83
1

Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:

249 = 31×831

Prime Factorization of 250


2 250
5 125
5 25
5 5
1

Prime factors of 250 are 2,5. Prime factorization of 250 in exponential form is:

250 = 21×53

∴ So by taking common prime factors GCF of 249 and 250 is 1

Greatest Common Factor of 249 and 250 by matching factors method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors and prime factorization of 249 and 250. The biggest common factor number is the GCF number.
So the greatest common factor 249 and 250 is 1.

Also check out the Least Common Multiple of 249 and 250

Properties of GCF 249 and 250

(i) The GCF of 249 and 250 is associative

GCF of 249 and 250 = GCF of 250 and 249

Related Greatest Common Factor of 249

Related Greatest Common Factor of 250

Frequently Asked Questions on GCF of 249 and 250

1. What is the GCF of 249 and 250?

Answer: GCF of 249 and 250 is 1.

2. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

3. What are the Factors of 250?

Answer: Factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250. There are 8 integers that are factors of 250. The greatest factor of 250 is 250.

4. How to Find the GCF of 249 and 250?

Answer:

Greatest Common Factor of 249 and 250 = 1

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 250

250 = 2 x 5 x 5 x 5

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 249 and 250 is 1