Greatest Common Factor of 10212 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 10212, 10220 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10212 and 10220 is 4.

GCF(10212,10220) = 4

GCF of 10212 and 10220

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

GCF of:
and

Greatest Common Factor of 10212 and 10220

GCF of 10212 and 10220 is 4

Prime Factorization of 10212


2 10212
2 5106
3 2553
23 851
37 37
1

Prime factors of 10212 are 2,3,23,37. Prime factorization of 10212 in exponential form is:

10212 = 22×31×231×371

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 10212 and 10220 is 4

Greatest Common Factor of 10212 and 10220 by matching factors method

Factors of 10212

List of positive integer factors of 10212 that divides 10212 without a remainder.

1,2,3,4,6,12,23,37,46,69,74,92,111,138,148,222,276,444,851,1702,2553,3404,5106,10212

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 10212 and 10220. The biggest common factor number is the GCF number.
So the greatest common factor 10212 and 10220 is 4.

Also check out the Least Common Multiple of 10212 and 10220

Properties of GCF 10212 and 10220

(i) The GCF of 10212 and 10220 is associative

GCF of 10212 and 10220 = GCF of 10220 and 10212

Related Greatest Common Factor of 10212

Related Greatest Common Factor of 10220

Frequently Asked Questions on GCF of 10212 and 10220

1. What is the GCF of 10212 and 10220?

Answer: GCF of 10212 and 10220 is 4.

2. What are the Factors of 10212?

Answer: Factors of 10212 are 1, 2, 3, 4, 6, 12, 23, 37, 46, 69, 74, 92, 111, 138, 148, 222, 276, 444, 851, 1702, 2553, 3404, 5106, 10212. There are 24 integers that are factors of 10212. The greatest factor of 10212 is 10212.

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 10212 and 10220?

Answer:

Greatest Common Factor of 10212 and 10220 = 4

Step 1: Find the prime factorization of 10212

10212 = 2 x 2 x 3 x 23 x 37

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10212 and 10220 is 4