Greatest Common Factor of 10248 and 10252

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, 10252 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10248 and 10252 is 4.

GCF(10248,10252) = 4

GCF of 10248 and 10252

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

GCF of:
and

Greatest Common Factor of 10248 and 10252

GCF of 10248 and 10252 is 4

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 10252


2 10252
2 5126
11 2563
233 233
1

Prime factors of 10252 are 2,11,233. Prime factorization of 10252 in exponential form is:

10252 = 22×111×2331

∴ So by taking common prime factors GCF of 10248 and 10252 is 4

Greatest Common Factor of 10248 and 10252 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 10252

List of positive integer factors of 10252 that divides 10252 without a remainder.

1,2,4,11,22,44,233,466,932,2563,5126,10252

Greatest Common Factor

We found the factors and prime factorization of 10248 and 10252. The biggest common factor number is the GCF number.
So the greatest common factor 10248 and 10252 is 4.

Also check out the Least Common Multiple of 10248 and 10252

Properties of GCF 10248 and 10252

(i) The GCF of 10248 and 10252 is associative

GCF of 10248 and 10252 = GCF of 10252 and 10248

Related Greatest Common Factor of 10248

Related Greatest Common Factor of 10252

Frequently Asked Questions on GCF of 10248 and 10252

1. What is the GCF of 10248 and 10252?

Answer: GCF of 10248 and 10252 is 4.

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 10252?

Answer: Factors of 10252 are 1, 2, 4, 11, 22, 44, 233, 466, 932, 2563, 5126, 10252. There are 12 integers that are factors of 10252. The greatest factor of 10252 is 10252.

4. How to Find the GCF of 10248 and 10252?

Answer:

Greatest Common Factor of 10248 and 10252 = 4

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 10252

10252 = 2 x 2 x 11 x 233

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10248 and 10252 is 4