Greatest Common Factor of 35215 and 35220

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 35215, 35220 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35215 and 35220 is 5.

GCF(35215,35220) = 5

GCF of 35215 and 35220

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

GCF of:
and

Greatest Common Factor of 35215 and 35220

GCF of 35215 and 35220 is 5

Prime Factorization of 35215


5 35215
7043 7043
1

Prime factors of 35215 are 5,7043. Prime factorization of 35215 in exponential form is:

35215 = 51×70431

Prime Factorization of 35220


2 35220
2 17610
3 8805
5 2935
587 587
1

Prime factors of 35220 are 2,3,5,587. Prime factorization of 35220 in exponential form is:

35220 = 22×31×51×5871

∴ So by taking common prime factors GCF of 35215 and 35220 is 5

Greatest Common Factor of 35215 and 35220 by matching factors method

Factors of 35215

List of positive integer factors of 35215 that divides 35215 without a remainder.

1,5,7043,35215

Factors of 35220

List of positive integer factors of 35220 that divides 35220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,587,1174,1761,2348,2935,3522,5870,7044,8805,11740,17610,35220

Greatest Common Factor

We found the factors and prime factorization of 35215 and 35220. The biggest common factor number is the GCF number.
So the greatest common factor 35215 and 35220 is 5.

Also check out the Least Common Multiple of 35215 and 35220

Properties of GCF 35215 and 35220

(i) The GCF of 35215 and 35220 is associative

GCF of 35215 and 35220 = GCF of 35220 and 35215

Related Greatest Common Factor of 35215

Related Greatest Common Factor of 35220

Frequently Asked Questions on GCF of 35215 and 35220

1. What is the GCF of 35215 and 35220?

Answer: GCF of 35215 and 35220 is 5.

2. What are the Factors of 35215?

Answer: Factors of 35215 are 1, 5, 7043, 35215. There are 4 integers that are factors of 35215. The greatest factor of 35215 is 35215.

3. What are the Factors of 35220?

Answer: Factors of 35220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 587, 1174, 1761, 2348, 2935, 3522, 5870, 7044, 8805, 11740, 17610, 35220. There are 24 integers that are factors of 35220. The greatest factor of 35220 is 35220.

4. How to Find the GCF of 35215 and 35220?

Answer:

Greatest Common Factor of 35215 and 35220 = 5

Step 1: Find the prime factorization of 35215

35215 = 5 x 7043

Step 2: Find the prime factorization of 35220

35220 = 2 x 2 x 3 x 5 x 587

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 35215 and 35220 is 5