Greatest Common Factor of 10215 and 10220

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 10215, 10220 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10215 and 10220 is 5.

GCF(10215,10220) = 5

GCF of 10215 and 10220

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

GCF of:
and

Greatest Common Factor of 10215 and 10220

GCF of 10215 and 10220 is 5

Prime Factorization of 10215


3 10215
3 3405
5 1135
227 227
1

Prime factors of 10215 are 3,5,227. Prime factorization of 10215 in exponential form is:

10215 = 32×51×2271

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

∴ So by taking common prime factors GCF of 10215 and 10220 is 5

Greatest Common Factor of 10215 and 10220 by matching factors method

Factors of 10215

List of positive integer factors of 10215 that divides 10215 without a remainder.

1,3,5,9,15,45,227,681,1135,2043,3405,10215

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

Greatest Common Factor

We found the factors and prime factorization of 10215 and 10220. The biggest common factor number is the GCF number.
So the greatest common factor 10215 and 10220 is 5.

Also check out the Least Common Multiple of 10215 and 10220

Properties of GCF 10215 and 10220

(i) The GCF of 10215 and 10220 is associative

GCF of 10215 and 10220 = GCF of 10220 and 10215

Related Greatest Common Factor of 10215

Related Greatest Common Factor of 10220

Frequently Asked Questions on GCF of 10215 and 10220

1. What is the GCF of 10215 and 10220?

Answer: GCF of 10215 and 10220 is 5.

2. What are the Factors of 10215?

Answer: Factors of 10215 are 1, 3, 5, 9, 15, 45, 227, 681, 1135, 2043, 3405, 10215. There are 12 integers that are factors of 10215. The greatest factor of 10215 is 10215.

3. 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.

4. How to Find the GCF of 10215 and 10220?

Answer:

Greatest Common Factor of 10215 and 10220 = 5

Step 1: Find the prime factorization of 10215

10215 = 3 x 3 x 5 x 227

Step 2: Find the prime factorization of 10220

10220 = 2 x 2 x 5 x 7 x 73

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10215 and 10220 is 5