Greatest Common Factor of 8212 and 8220

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 8212, 8220 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8212 and 8220 is 4.

GCF(8212,8220) = 4

GCF of 8212 and 8220

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

GCF of:
and

Greatest Common Factor of 8212 and 8220

GCF of 8212 and 8220 is 4

Prime Factorization of 8212


2 8212
2 4106
2053 2053
1

Prime factors of 8212 are 2,2053. Prime factorization of 8212 in exponential form is:

8212 = 22×20531

Prime Factorization of 8220


2 8220
2 4110
3 2055
5 685
137 137
1

Prime factors of 8220 are 2,3,5,137. Prime factorization of 8220 in exponential form is:

8220 = 22×31×51×1371

∴ So by taking common prime factors GCF of 8212 and 8220 is 4

Greatest Common Factor of 8212 and 8220 by matching factors method

Factors of 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1,2,4,2053,4106,8212

Factors of 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors and prime factorization of 8212 and 8220. The biggest common factor number is the GCF number.
So the greatest common factor 8212 and 8220 is 4.

Also check out the Least Common Multiple of 8212 and 8220

Properties of GCF 8212 and 8220

(i) The GCF of 8212 and 8220 is associative

GCF of 8212 and 8220 = GCF of 8220 and 8212

Related Greatest Common Factor of 8212

Related Greatest Common Factor of 8220

Frequently Asked Questions on GCF of 8212 and 8220

1. What is the GCF of 8212 and 8220?

Answer: GCF of 8212 and 8220 is 4.

2. What are the Factors of 8212?

Answer: Factors of 8212 are 1, 2, 4, 2053, 4106, 8212. There are 6 integers that are factors of 8212. The greatest factor of 8212 is 8212.

3. What are the Factors of 8220?

Answer: Factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220. There are 24 integers that are factors of 8220. The greatest factor of 8220 is 8220.

4. How to Find the GCF of 8212 and 8220?

Answer:

Greatest Common Factor of 8212 and 8220 = 4

Step 1: Find the prime factorization of 8212

8212 = 2 x 2 x 2053

Step 2: Find the prime factorization of 8220

8220 = 2 x 2 x 3 x 5 x 137

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 8212 and 8220 is 4