Greatest Common Factor of 6242 and 6250

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 6242, 6250 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6242 and 6250 is 2.

GCF(6242,6250) = 2

GCF of 6242 and 6250

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

GCF of:
and

Greatest Common Factor of 6242 and 6250

GCF of 6242 and 6250 is 2

Prime Factorization of 6242


2 6242
3121 3121
1

Prime factors of 6242 are 2,3121. Prime factorization of 6242 in exponential form is:

6242 = 21×31211

Prime Factorization of 6250


2 6250
5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 6250 are 2,5. Prime factorization of 6250 in exponential form is:

6250 = 21×55

∴ So by taking common prime factors GCF of 6242 and 6250 is 2

Greatest Common Factor of 6242 and 6250 by matching factors method

Factors of 6242

List of positive integer factors of 6242 that divides 6242 without a remainder.

1,2,3121,6242

Factors of 6250

List of positive integer factors of 6250 that divides 6250 without a remainder.

1,2,5,10,25,50,125,250,625,1250,3125,6250

Greatest Common Factor

We found the factors and prime factorization of 6242 and 6250. The biggest common factor number is the GCF number.
So the greatest common factor 6242 and 6250 is 2.

Also check out the Least Common Multiple of 6242 and 6250

Properties of GCF 6242 and 6250

(i) The GCF of 6242 and 6250 is associative

GCF of 6242 and 6250 = GCF of 6250 and 6242

Related Greatest Common Factor of 6242

Related Greatest Common Factor of 6250

Frequently Asked Questions on GCF of 6242 and 6250

1. What is the GCF of 6242 and 6250?

Answer: GCF of 6242 and 6250 is 2.

2. What are the Factors of 6242?

Answer: Factors of 6242 are 1, 2, 3121, 6242. There are 4 integers that are factors of 6242. The greatest factor of 6242 is 6242.

3. What are the Factors of 6250?

Answer: Factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250. There are 12 integers that are factors of 6250. The greatest factor of 6250 is 6250.

4. How to Find the GCF of 6242 and 6250?

Answer:

Greatest Common Factor of 6242 and 6250 = 2

Step 1: Find the prime factorization of 6242

6242 = 2 x 3121

Step 2: Find the prime factorization of 6250

6250 = 2 x 5 x 5 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 6242 and 6250 is 2