Greatest Common Factor of 10224 and 10226

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 10224, 10226 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10224 and 10226 is 2.

GCF(10224,10226) = 2

GCF of 10224 and 10226

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

GCF of:
and

Greatest Common Factor of 10224 and 10226

GCF of 10224 and 10226 is 2

Prime Factorization of 10224


2 10224
2 5112
2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 10224 are 2,3,71. Prime factorization of 10224 in exponential form is:

10224 = 24×32×711

Prime Factorization of 10226


2 10226
5113 5113
1

Prime factors of 10226 are 2,5113. Prime factorization of 10226 in exponential form is:

10226 = 21×51131

∴ So by taking common prime factors GCF of 10224 and 10226 is 2

Greatest Common Factor of 10224 and 10226 by matching factors method

Factors of 10224

List of positive integer factors of 10224 that divides 10224 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,71,72,142,144,213,284,426,568,639,852,1136,1278,1704,2556,3408,5112,10224

Factors of 10226

List of positive integer factors of 10226 that divides 10226 without a remainder.

1,2,5113,10226

Greatest Common Factor

We found the factors and prime factorization of 10224 and 10226. The biggest common factor number is the GCF number.
So the greatest common factor 10224 and 10226 is 2.

Also check out the Least Common Multiple of 10224 and 10226

Properties of GCF 10224 and 10226

(i) The GCF of 10224 and 10226 is associative

GCF of 10224 and 10226 = GCF of 10226 and 10224

Related Greatest Common Factor of 10224

Related Greatest Common Factor of 10226

Frequently Asked Questions on GCF of 10224 and 10226

1. What is the GCF of 10224 and 10226?

Answer: GCF of 10224 and 10226 is 2.

2. What are the Factors of 10224?

Answer: Factors of 10224 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 71, 72, 142, 144, 213, 284, 426, 568, 639, 852, 1136, 1278, 1704, 2556, 3408, 5112, 10224. There are 30 integers that are factors of 10224. The greatest factor of 10224 is 10224.

3. What are the Factors of 10226?

Answer: Factors of 10226 are 1, 2, 5113, 10226. There are 4 integers that are factors of 10226. The greatest factor of 10226 is 10226.

4. How to Find the GCF of 10224 and 10226?

Answer:

Greatest Common Factor of 10224 and 10226 = 2

Step 1: Find the prime factorization of 10224

10224 = 2 x 2 x 2 x 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 10226

10226 = 2 x 5113

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10224 and 10226 is 2