Greatest Common Factor of 34213 and 34220

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 34213, 34220 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 34213 and 34220 is 1.

GCF(34213,34220) = 1

GCF of 34213 and 34220

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

GCF of:
and

Greatest Common Factor of 34213 and 34220

GCF of 34213 and 34220 is 1

Prime Factorization of 34213


34213 34213
1

Prime factors of 34213 are 34213. Prime factorization of 34213 in exponential form is:

34213 = 342131

Prime Factorization of 34220


2 34220
2 17110
5 8555
29 1711
59 59
1

Prime factors of 34220 are 2.Prime factorization of 34220 in exponential form is:

34220 = 22×51×291×591

∴ So by taking common prime factors GCF of 34213 and 34220 is 1

Greatest Common Factor of 34213 and 34220 by matching factors method

Factors of 34213

List of positive integer factors of 34213 that divides 34213 without a remainder.

1,34213

Factors of 34220

List of positive integer factors of 34220 that divides 34220 without a remainder.

1,2,4,5,10,20,29,58,59,116,118,145,236,290,295,580,590,1180,1711,3422,6844,8555,17110,34220

Greatest Common Factor

We found the factors and prime factorization of 34213 and 34220. The biggest common factor number is the GCF number.
So the greatest common factor 34213 and 34220 is 1.

Also check out the Least Common Multiple of 34213 and 34220

Properties of GCF 34213 and 34220

(i) The GCF of 34213 and 34220 is associative

GCF of 34213 and 34220 = GCF of 34220 and 34213

Related Greatest Common Factor of 34213

Related Greatest Common Factor of 34220

Frequently Asked Questions on GCF of 34213 and 34220

1. What is the GCF of 34213 and 34220?

Answer: GCF of 34213 and 34220 is 1.

2. What are the Factors of 34213?

Answer: Factors of 34213 are 1, 34213. There are 2 integers that are factors of 34213. The greatest factor of 34213 is 34213.

3. What are the Factors of 34220?

Answer: Factors of 34220 are 1, 2, 4, 5, 10, 20, 29, 58, 59, 116, 118, 145, 236, 290, 295, 580, 590, 1180, 1711, 3422, 6844, 8555, 17110, 34220. There are 24 integers that are factors of 34220. The greatest factor of 34220 is 34220.

4. How to Find the GCF of 34213 and 34220?

Answer:

Greatest Common Factor of 34213 and 34220 = 1

Step 1: Find the prime factorization of 34213

34213 = 34213

Step 2: Find the prime factorization of 34220

34220 = 2 x 2 x 5 x 29 x 59

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 34213 and 34220 is 1