Greatest Common Factor of 1250 and 1254

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 1250, 1254 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1250 and 1254 is 2.

GCF(1250,1254) = 2

GCF of 1250 and 1254

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

GCF of:
and

Greatest Common Factor of 1250 and 1254

GCF of 1250 and 1254 is 2

Prime Factorization of 1250


2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 1250 are 2,5. Prime factorization of 1250 in exponential form is:

1250 = 21×54

Prime Factorization of 1254


2 1254
3 627
11 209
19 19
1

Prime factors of 1254 are 2,3,11,19. Prime factorization of 1254 in exponential form is:

1254 = 21×31×111×191

∴ So by taking common prime factors GCF of 1250 and 1254 is 2

Greatest Common Factor of 1250 and 1254 by matching factors method

Factors of 1250

List of positive integer factors of 1250 that divides 1250 without a remainder.

1,2,5,10,25,50,125,250,625,1250

Factors of 1254

List of positive integer factors of 1254 that divides 1254 without a remainder.

1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254

Greatest Common Factor

We found the factors and prime factorization of 1250 and 1254. The biggest common factor number is the GCF number.
So the greatest common factor 1250 and 1254 is 2.

Also check out the Least Common Multiple of 1250 and 1254

Properties of GCF 1250 and 1254

(i) The GCF of 1250 and 1254 is associative

GCF of 1250 and 1254 = GCF of 1254 and 1250

Related Greatest Common Factor of 1250

Related Greatest Common Factor of 1254

Frequently Asked Questions on GCF of 1250 and 1254

1. What is the GCF of 1250 and 1254?

Answer: GCF of 1250 and 1254 is 2.

2. What are the Factors of 1250?

Answer: Factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. There are 10 integers that are factors of 1250. The greatest factor of 1250 is 1250.

3. What are the Factors of 1254?

Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.

4. How to Find the GCF of 1250 and 1254?

Answer:

Greatest Common Factor of 1250 and 1254 = 2

Step 1: Find the prime factorization of 1250

1250 = 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 1254

1254 = 2 x 3 x 11 x 19

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 1250 and 1254 is 2