Greatest Common Factor of 10220 and 10224

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 10220, 10224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10220 and 10224 is 4.

GCF(10220,10224) = 4

GCF of 10220 and 10224

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

GCF of:
and

Greatest Common Factor of 10220 and 10224

GCF of 10220 and 10224 is 4

Prime Factorization of 10220


2 10220
2 5110
5 2555
7 511
73 73
1

Prime factors of 10220 are 2,5,7,73. Prime factorization of 10220 in exponential form is:

10220 = 22×51×71×731

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

∴ So by taking common prime factors GCF of 10220 and 10224 is 4

Greatest Common Factor of 10220 and 10224 by matching factors method

Factors of 10220

List of positive integer factors of 10220 that divides 10220 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,73,140,146,292,365,511,730,1022,1460,2044,2555,5110,10220

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

Greatest Common Factor

We found the factors and prime factorization of 10220 and 10224. The biggest common factor number is the GCF number.
So the greatest common factor 10220 and 10224 is 4.

Also check out the Least Common Multiple of 10220 and 10224

Properties of GCF 10220 and 10224

(i) The GCF of 10220 and 10224 is associative

GCF of 10220 and 10224 = GCF of 10224 and 10220

Related Greatest Common Factor of 10220

Related Greatest Common Factor of 10224

Frequently Asked Questions on GCF of 10220 and 10224

1. What is the GCF of 10220 and 10224?

Answer: GCF of 10220 and 10224 is 4.

2. What are the Factors of 10220?

Answer: Factors of 10220 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 73, 140, 146, 292, 365, 511, 730, 1022, 1460, 2044, 2555, 5110, 10220. There are 24 integers that are factors of 10220. The greatest factor of 10220 is 10220.

3. 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.

4. How to Find the GCF of 10220 and 10224?

Answer:

Greatest Common Factor of 10220 and 10224 = 4

Step 1: Find the prime factorization of 10220

10220 = 2 x 2 x 5 x 7 x 73

Step 2: Find the prime factorization of 10224

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

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 10220 and 10224 is 4