Greatest Common Factor of 10248 and 10255

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, 10255 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10248 and 10255 is 7.

GCF(10248,10255) = 7

GCF of 10248 and 10255

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

GCF of:
and

Greatest Common Factor of 10248 and 10255

GCF of 10248 and 10255 is 7

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 10255


5 10255
7 2051
293 293
1

Prime factors of 10255 are 5,7,293. Prime factorization of 10255 in exponential form is:

10255 = 51×71×2931

∴ So by taking common prime factors GCF of 10248 and 10255 is 7

Greatest Common Factor of 10248 and 10255 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 10255

List of positive integer factors of 10255 that divides 10255 without a remainder.

1,5,7,35,293,1465,2051,10255

Greatest Common Factor

We found the factors and prime factorization of 10248 and 10255. The biggest common factor number is the GCF number.
So the greatest common factor 10248 and 10255 is 7.

Also check out the Least Common Multiple of 10248 and 10255

Properties of GCF 10248 and 10255

(i) The GCF of 10248 and 10255 is associative

GCF of 10248 and 10255 = GCF of 10255 and 10248

Related Greatest Common Factor of 10248

Related Greatest Common Factor of 10255

Frequently Asked Questions on GCF of 10248 and 10255

1. What is the GCF of 10248 and 10255?

Answer: GCF of 10248 and 10255 is 7.

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 10255?

Answer: Factors of 10255 are 1, 5, 7, 35, 293, 1465, 2051, 10255. There are 8 integers that are factors of 10255. The greatest factor of 10255 is 10255.

4. How to Find the GCF of 10248 and 10255?

Answer:

Greatest Common Factor of 10248 and 10255 = 7

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 10255

10255 = 5 x 7 x 293

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

GCF = 7

Step 4: Therefore, the greatest common factor of 10248 and 10255 is 7