Greatest Common Factor of 10052 and 10056

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 10052, 10056 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10052 and 10056 is 4.

GCF(10052,10056) = 4

GCF of 10052 and 10056

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

GCF of:
and

Greatest Common Factor of 10052 and 10056

GCF of 10052 and 10056 is 4

Prime Factorization of 10052


2 10052
2 5026
7 2513
359 359
1

Prime factors of 10052 are 2,7,359. Prime factorization of 10052 in exponential form is:

10052 = 22×71×3591

Prime Factorization of 10056


2 10056
2 5028
2 2514
3 1257
419 419
1

Prime factors of 10056 are 2,3,419. Prime factorization of 10056 in exponential form is:

10056 = 23×31×4191

∴ So by taking common prime factors GCF of 10052 and 10056 is 4

Greatest Common Factor of 10052 and 10056 by matching factors method

Factors of 10052

List of positive integer factors of 10052 that divides 10052 without a remainder.

1,2,4,7,14,28,359,718,1436,2513,5026,10052

Factors of 10056

List of positive integer factors of 10056 that divides 10056 without a remainder.

1,2,3,4,6,8,12,24,419,838,1257,1676,2514,3352,5028,10056

Greatest Common Factor

We found the factors and prime factorization of 10052 and 10056. The biggest common factor number is the GCF number.
So the greatest common factor 10052 and 10056 is 4.

Also check out the Least Common Multiple of 10052 and 10056

Properties of GCF 10052 and 10056

(i) The GCF of 10052 and 10056 is associative

GCF of 10052 and 10056 = GCF of 10056 and 10052

Related Greatest Common Factor of 10052

Related Greatest Common Factor of 10056

Frequently Asked Questions on GCF of 10052 and 10056

1. What is the GCF of 10052 and 10056?

Answer: GCF of 10052 and 10056 is 4.

2. What are the Factors of 10052?

Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.

3. What are the Factors of 10056?

Answer: Factors of 10056 are 1, 2, 3, 4, 6, 8, 12, 24, 419, 838, 1257, 1676, 2514, 3352, 5028, 10056. There are 16 integers that are factors of 10056. The greatest factor of 10056 is 10056.

4. How to Find the GCF of 10052 and 10056?

Answer:

Greatest Common Factor of 10052 and 10056 = 4

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

Step 2: Find the prime factorization of 10056

10056 = 2 x 2 x 2 x 3 x 419

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 10052 and 10056 is 4