Greatest Common Factor of 10248 and 10254

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 10248, 10254 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10248 and 10254 is 6.

GCF(10248,10254) = 6

GCF of 10248 and 10254

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

GCF of:
and

Greatest Common Factor of 10248 and 10254

GCF of 10248 and 10254 is 6

Prime Factorization of 10248


2 10248
2 5124
2 2562
3 1281
7 427
61 61
1

Prime factors of 10248 are 2,3,7,61. Prime factorization of 10248 in exponential form is:

10248 = 23×31×71×611

Prime Factorization of 10254


2 10254
3 5127
1709 1709
1

Prime factors of 10254 are 2,3,1709. Prime factorization of 10254 in exponential form is:

10254 = 21×31×17091

∴ So by taking common prime factors GCF of 10248 and 10254 is 6

Greatest Common Factor of 10248 and 10254 by matching factors method

Factors of 10248

List of positive integer factors of 10248 that divides 10248 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,61,84,122,168,183,244,366,427,488,732,854,1281,1464,1708,2562,3416,5124,10248

Factors of 10254

List of positive integer factors of 10254 that divides 10254 without a remainder.

1,2,3,6,1709,3418,5127,10254

Greatest Common Factor

We found the factors and prime factorization of 10248 and 10254. The biggest common factor number is the GCF number.
So the greatest common factor 10248 and 10254 is 6.

Also check out the Least Common Multiple of 10248 and 10254

Properties of GCF 10248 and 10254

(i) The GCF of 10248 and 10254 is associative

GCF of 10248 and 10254 = GCF of 10254 and 10248

Related Greatest Common Factor of 10248

Related Greatest Common Factor of 10254

Frequently Asked Questions on GCF of 10248 and 10254

1. What is the GCF of 10248 and 10254?

Answer: GCF of 10248 and 10254 is 6.

2. What are the Factors of 10248?

Answer: Factors of 10248 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 61, 84, 122, 168, 183, 244, 366, 427, 488, 732, 854, 1281, 1464, 1708, 2562, 3416, 5124, 10248. There are 32 integers that are factors of 10248. The greatest factor of 10248 is 10248.

3. What are the Factors of 10254?

Answer: Factors of 10254 are 1, 2, 3, 6, 1709, 3418, 5127, 10254. There are 8 integers that are factors of 10254. The greatest factor of 10254 is 10254.

4. How to Find the GCF of 10248 and 10254?

Answer:

Greatest Common Factor of 10248 and 10254 = 6

Step 1: Find the prime factorization of 10248

10248 = 2 x 2 x 2 x 3 x 7 x 61

Step 2: Find the prime factorization of 10254

10254 = 2 x 3 x 1709

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 10248 and 10254 is 6