Greatest Common Factor of 39215 and 39220

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 39215, 39220 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39215 and 39220 is 5.

GCF(39215,39220) = 5

GCF of 39215 and 39220

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

GCF of:
and

Greatest Common Factor of 39215 and 39220

GCF of 39215 and 39220 is 5

Prime Factorization of 39215


5 39215
11 7843
23 713
31 31
1

Prime factors of 39215 are 5,11,23,31. Prime factorization of 39215 in exponential form is:

39215 = 51×111×231×311

Prime Factorization of 39220


2 39220
2 19610
5 9805
37 1961
53 53
1

Prime factors of 39220 are 2,5,37,53. Prime factorization of 39220 in exponential form is:

39220 = 22×51×371×531

∴ So by taking common prime factors GCF of 39215 and 39220 is 5

Greatest Common Factor of 39215 and 39220 by matching factors method

Factors of 39215

List of positive integer factors of 39215 that divides 39215 without a remainder.

1,5,11,23,31,55,115,155,253,341,713,1265,1705,3565,7843,39215

Factors of 39220

List of positive integer factors of 39220 that divides 39220 without a remainder.

1,2,4,5,10,20,37,53,74,106,148,185,212,265,370,530,740,1060,1961,3922,7844,9805,19610,39220

Greatest Common Factor

We found the factors and prime factorization of 39215 and 39220. The biggest common factor number is the GCF number.
So the greatest common factor 39215 and 39220 is 5.

Also check out the Least Common Multiple of 39215 and 39220

Properties of GCF 39215 and 39220

(i) The GCF of 39215 and 39220 is associative

GCF of 39215 and 39220 = GCF of 39220 and 39215

Related Greatest Common Factor of 39215

Related Greatest Common Factor of 39220

Frequently Asked Questions on GCF of 39215 and 39220

1. What is the GCF of 39215 and 39220?

Answer: GCF of 39215 and 39220 is 5.

2. What are the Factors of 39215?

Answer: Factors of 39215 are 1, 5, 11, 23, 31, 55, 115, 155, 253, 341, 713, 1265, 1705, 3565, 7843, 39215. There are 16 integers that are factors of 39215. The greatest factor of 39215 is 39215.

3. What are the Factors of 39220?

Answer: Factors of 39220 are 1, 2, 4, 5, 10, 20, 37, 53, 74, 106, 148, 185, 212, 265, 370, 530, 740, 1060, 1961, 3922, 7844, 9805, 19610, 39220. There are 24 integers that are factors of 39220. The greatest factor of 39220 is 39220.

4. How to Find the GCF of 39215 and 39220?

Answer:

Greatest Common Factor of 39215 and 39220 = 5

Step 1: Find the prime factorization of 39215

39215 = 5 x 11 x 23 x 31

Step 2: Find the prime factorization of 39220

39220 = 2 x 2 x 5 x 37 x 53

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

GCF = 5

Step 4: Therefore, the greatest common factor of 39215 and 39220 is 5