Greatest Common Factor of 246 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 246, 250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 246 and 250 is 2.

GCF(246,250) = 2

GCF of 246 and 250

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

GCF of:
and

Greatest Common Factor of 246 and 250

GCF of 246 and 250 is 2

Prime Factorization of 246


2 246
3 123
41 41
1

Prime factors of 246 are 2,3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

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 246 and 250 is 2

Greatest Common Factor of 246 and 250 by matching factors method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

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 246 and 250. The biggest common factor number is the GCF number.
So the greatest common factor 246 and 250 is 2.

Also check out the Least Common Multiple of 246 and 250

Properties of GCF 246 and 250

(i) The GCF of 246 and 250 is associative

GCF of 246 and 250 = GCF of 250 and 246

Related Greatest Common Factor of 246

Related Greatest Common Factor of 250

Frequently Asked Questions on GCF of 246 and 250

1. What is the GCF of 246 and 250?

Answer: GCF of 246 and 250 is 2.

2. What are the Factors of 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

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 246 and 250?

Answer:

Greatest Common Factor of 246 and 250 = 2

Step 1: Find the prime factorization of 246

246 = 2 x 3 x 41

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 = 2

Step 4: Therefore, the greatest common factor of 246 and 250 is 2