Greatest Common Factor of 10220 and 10228

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, 10228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10220 and 10228 is 4.

GCF(10220,10228) = 4

GCF of 10220 and 10228

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

GCF of:
and

Greatest Common Factor of 10220 and 10228

GCF of 10220 and 10228 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 10228


2 10228
2 5114
2557 2557
1

Prime factors of 10228 are 2,2557. Prime factorization of 10228 in exponential form is:

10228 = 22×25571

∴ So by taking common prime factors GCF of 10220 and 10228 is 4

Greatest Common Factor of 10220 and 10228 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 10228

List of positive integer factors of 10228 that divides 10228 without a remainder.

1,2,4,2557,5114,10228

Greatest Common Factor

We found the factors and prime factorization of 10220 and 10228. The biggest common factor number is the GCF number.
So the greatest common factor 10220 and 10228 is 4.

Also check out the Least Common Multiple of 10220 and 10228

Properties of GCF 10220 and 10228

(i) The GCF of 10220 and 10228 is associative

GCF of 10220 and 10228 = GCF of 10228 and 10220

Related Greatest Common Factor of 10220

Related Greatest Common Factor of 10228

Frequently Asked Questions on GCF of 10220 and 10228

1. What is the GCF of 10220 and 10228?

Answer: GCF of 10220 and 10228 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 10228?

Answer: Factors of 10228 are 1, 2, 4, 2557, 5114, 10228. There are 6 integers that are factors of 10228. The greatest factor of 10228 is 10228.

4. How to Find the GCF of 10220 and 10228?

Answer:

Greatest Common Factor of 10220 and 10228 = 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 10228

10228 = 2 x 2 x 2557

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 10228 is 4