Greatest Common Factor of 4213 and 4220

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 4213, 4220 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4213 and 4220 is 1.

GCF(4213,4220) = 1

GCF of 4213 and 4220

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

GCF of:
and

Greatest Common Factor of 4213 and 4220

GCF of 4213 and 4220 is 1

Prime Factorization of 4213


11 4213
383 383
1

Prime factors of 4213 are 11,383. Prime factorization of 4213 in exponential form is:

4213 = 111×3831

Prime Factorization of 4220


2 4220
2 2110
5 1055
211 211
1

Prime factors of 4220 are 2,5,211. Prime factorization of 4220 in exponential form is:

4220 = 22×51×2111

∴ So by taking common prime factors GCF of 4213 and 4220 is 1

Greatest Common Factor of 4213 and 4220 by matching factors method

Factors of 4213

List of positive integer factors of 4213 that divides 4213 without a remainder.

1,11,383,4213

Factors of 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1,2,4,5,10,20,211,422,844,1055,2110,4220

Greatest Common Factor

We found the factors and prime factorization of 4213 and 4220. The biggest common factor number is the GCF number.
So the greatest common factor 4213 and 4220 is 1.

Also check out the Least Common Multiple of 4213 and 4220

Properties of GCF 4213 and 4220

(i) The GCF of 4213 and 4220 is associative

GCF of 4213 and 4220 = GCF of 4220 and 4213

Frequently Asked Questions on GCF of 4213 and 4220

1. What is the GCF of 4213 and 4220?

Answer: GCF of 4213 and 4220 is 1.

2. What are the Factors of 4213?

Answer: Factors of 4213 are 1, 11, 383, 4213. There are 4 integers that are factors of 4213. The greatest factor of 4213 is 4213.

3. What are the Factors of 4220?

Answer: Factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220. There are 12 integers that are factors of 4220. The greatest factor of 4220 is 4220.

4. How to Find the GCF of 4213 and 4220?

Answer:

Greatest Common Factor of 4213 and 4220 = 1

Step 1: Find the prime factorization of 4213

4213 = 11 x 383

Step 2: Find the prime factorization of 4220

4220 = 2 x 2 x 5 x 211

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4213 and 4220 is 1