Greatest Common Factor of 39220 and 39224

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 39220, 39224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39220 and 39224 is 4.

GCF(39220,39224) = 4

GCF of 39220 and 39224

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

GCF of:
and

Greatest Common Factor of 39220 and 39224

GCF of 39220 and 39224 is 4

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

Prime Factorization of 39224


2 39224
2 19612
2 9806
4903 4903
1

Prime factors of 39224 are 2,4903. Prime factorization of 39224 in exponential form is:

39224 = 23×49031

∴ So by taking common prime factors GCF of 39220 and 39224 is 4

Greatest Common Factor of 39220 and 39224 by matching factors method

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

Factors of 39224

List of positive integer factors of 39224 that divides 39224 without a remainder.

1,2,4,8,4903,9806,19612,39224

Greatest Common Factor

We found the factors and prime factorization of 39220 and 39224. The biggest common factor number is the GCF number.
So the greatest common factor 39220 and 39224 is 4.

Also check out the Least Common Multiple of 39220 and 39224

Properties of GCF 39220 and 39224

(i) The GCF of 39220 and 39224 is associative

GCF of 39220 and 39224 = GCF of 39224 and 39220

Related Greatest Common Factor of 39220

Related Greatest Common Factor of 39224

Frequently Asked Questions on GCF of 39220 and 39224

1. What is the GCF of 39220 and 39224?

Answer: GCF of 39220 and 39224 is 4.

2. 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.

3. What are the Factors of 39224?

Answer: Factors of 39224 are 1, 2, 4, 8, 4903, 9806, 19612, 39224. There are 8 integers that are factors of 39224. The greatest factor of 39224 is 39224.

4. How to Find the GCF of 39220 and 39224?

Answer:

Greatest Common Factor of 39220 and 39224 = 4

Step 1: Find the prime factorization of 39220

39220 = 2 x 2 x 5 x 37 x 53

Step 2: Find the prime factorization of 39224

39224 = 2 x 2 x 2 x 4903

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 39220 and 39224 is 4