Greatest Common Factor of 35210 and 35215

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 35210, 35215 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 35210 and 35215 is 5.

GCF(35210,35215) = 5

GCF of 35210 and 35215

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

GCF of:
and

Greatest Common Factor of 35210 and 35215

GCF of 35210 and 35215 is 5

Prime Factorization of 35210


2 35210
5 17605
7 3521
503 503
1

Prime factors of 35210 are 2,5,7,503. Prime factorization of 35210 in exponential form is:

35210 = 21×51×71×5031

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

∴ So by taking common prime factors GCF of 35210 and 35215 is 5

Greatest Common Factor of 35210 and 35215 by matching factors method

Factors of 35210

List of positive integer factors of 35210 that divides 35210 without a remainder.

1,2,5,7,10,14,35,70,503,1006,2515,3521,5030,7042,17605,35210

Factors of 35215

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

1,5,7043,35215

Greatest Common Factor

We found the factors and prime factorization of 35210 and 35215. The biggest common factor number is the GCF number.
So the greatest common factor 35210 and 35215 is 5.

Also check out the Least Common Multiple of 35210 and 35215

Properties of GCF 35210 and 35215

(i) The GCF of 35210 and 35215 is associative

GCF of 35210 and 35215 = GCF of 35215 and 35210

Related Greatest Common Factor of 35210

Related Greatest Common Factor of 35215

Frequently Asked Questions on GCF of 35210 and 35215

1. What is the GCF of 35210 and 35215?

Answer: GCF of 35210 and 35215 is 5.

2. What are the Factors of 35210?

Answer: Factors of 35210 are 1, 2, 5, 7, 10, 14, 35, 70, 503, 1006, 2515, 3521, 5030, 7042, 17605, 35210. There are 16 integers that are factors of 35210. The greatest factor of 35210 is 35210.

3. 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.

4. How to Find the GCF of 35210 and 35215?

Answer:

Greatest Common Factor of 35210 and 35215 = 5

Step 1: Find the prime factorization of 35210

35210 = 2 x 5 x 7 x 503

Step 2: Find the prime factorization of 35215

35215 = 5 x 7043

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 35210 and 35215 is 5