Greatest Common Factor of 10140 and 10144

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 10140, 10144 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10140 and 10144 is 4.

GCF(10140,10144) = 4

GCF of 10140 and 10144

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

GCF of:
and

Greatest Common Factor of 10140 and 10144

GCF of 10140 and 10144 is 4

Prime Factorization of 10140


2 10140
2 5070
3 2535
5 845
13 169
13 13
1

Prime factors of 10140 are 2,3,5,13. Prime factorization of 10140 in exponential form is:

10140 = 22×31×51×132

Prime Factorization of 10144


2 10144
2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 10144 are 2,317. Prime factorization of 10144 in exponential form is:

10144 = 25×3171

∴ So by taking common prime factors GCF of 10140 and 10144 is 4

Greatest Common Factor of 10140 and 10144 by matching factors method

Factors of 10140

List of positive integer factors of 10140 that divides 10140 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,169,195,260,338,390,507,676,780,845,1014,1690,2028,2535,3380,5070,10140

Factors of 10144

List of positive integer factors of 10144 that divides 10144 without a remainder.

1,2,4,8,16,32,317,634,1268,2536,5072,10144

Greatest Common Factor

We found the factors and prime factorization of 10140 and 10144. The biggest common factor number is the GCF number.
So the greatest common factor 10140 and 10144 is 4.

Also check out the Least Common Multiple of 10140 and 10144

Properties of GCF 10140 and 10144

(i) The GCF of 10140 and 10144 is associative

GCF of 10140 and 10144 = GCF of 10144 and 10140

Related Greatest Common Factor of 10140

Related Greatest Common Factor of 10144

Frequently Asked Questions on GCF of 10140 and 10144

1. What is the GCF of 10140 and 10144?

Answer: GCF of 10140 and 10144 is 4.

2. What are the Factors of 10140?

Answer: Factors of 10140 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 169, 195, 260, 338, 390, 507, 676, 780, 845, 1014, 1690, 2028, 2535, 3380, 5070, 10140. There are 36 integers that are factors of 10140. The greatest factor of 10140 is 10140.

3. What are the Factors of 10144?

Answer: Factors of 10144 are 1, 2, 4, 8, 16, 32, 317, 634, 1268, 2536, 5072, 10144. There are 12 integers that are factors of 10144. The greatest factor of 10144 is 10144.

4. How to Find the GCF of 10140 and 10144?

Answer:

Greatest Common Factor of 10140 and 10144 = 4

Step 1: Find the prime factorization of 10140

10140 = 2 x 2 x 3 x 5 x 13 x 13

Step 2: Find the prime factorization of 10144

10144 = 2 x 2 x 2 x 2 x 2 x 317

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 10140 and 10144 is 4