Greatest Common Factor of 6212 and 6220

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 6212, 6220 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6212 and 6220 is 4.

GCF(6212,6220) = 4

GCF of 6212 and 6220

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

GCF of:
and

Greatest Common Factor of 6212 and 6220

GCF of 6212 and 6220 is 4

Prime Factorization of 6212


2 6212
2 3106
1553 1553
1

Prime factors of 6212 are 2,1553. Prime factorization of 6212 in exponential form is:

6212 = 22×15531

Prime Factorization of 6220


2 6220
2 3110
5 1555
311 311
1

Prime factors of 6220 are 2,5,311. Prime factorization of 6220 in exponential form is:

6220 = 22×51×3111

∴ So by taking common prime factors GCF of 6212 and 6220 is 4

Greatest Common Factor of 6212 and 6220 by matching factors method

Factors of 6212

List of positive integer factors of 6212 that divides 6212 without a remainder.

1,2,4,1553,3106,6212

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1,2,4,5,10,20,311,622,1244,1555,3110,6220

Greatest Common Factor

We found the factors and prime factorization of 6212 and 6220. The biggest common factor number is the GCF number.
So the greatest common factor 6212 and 6220 is 4.

Also check out the Least Common Multiple of 6212 and 6220

Properties of GCF 6212 and 6220

(i) The GCF of 6212 and 6220 is associative

GCF of 6212 and 6220 = GCF of 6220 and 6212

Related Greatest Common Factor of 6212

Related Greatest Common Factor of 6220

Frequently Asked Questions on GCF of 6212 and 6220

1. What is the GCF of 6212 and 6220?

Answer: GCF of 6212 and 6220 is 4.

2. What are the Factors of 6212?

Answer: Factors of 6212 are 1, 2, 4, 1553, 3106, 6212. There are 6 integers that are factors of 6212. The greatest factor of 6212 is 6212.

3. What are the Factors of 6220?

Answer: Factors of 6220 are 1, 2, 4, 5, 10, 20, 311, 622, 1244, 1555, 3110, 6220. There are 12 integers that are factors of 6220. The greatest factor of 6220 is 6220.

4. How to Find the GCF of 6212 and 6220?

Answer:

Greatest Common Factor of 6212 and 6220 = 4

Step 1: Find the prime factorization of 6212

6212 = 2 x 2 x 1553

Step 2: Find the prime factorization of 6220

6220 = 2 x 2 x 5 x 311

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 6212 and 6220 is 4