Greatest Common Factor of 4262 and 4270

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 4262, 4270 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4262 and 4270 is 2.

GCF(4262,4270) = 2

GCF of 4262 and 4270

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

GCF of:
and

Greatest Common Factor of 4262 and 4270

GCF of 4262 and 4270 is 2

Prime Factorization of 4262


2 4262
2131 2131
1

Prime factors of 4262 are 2,2131. Prime factorization of 4262 in exponential form is:

4262 = 21×21311

Prime Factorization of 4270


2 4270
5 2135
7 427
61 61
1

Prime factors of 4270 are 2,5,7,61. Prime factorization of 4270 in exponential form is:

4270 = 21×51×71×611

∴ So by taking common prime factors GCF of 4262 and 4270 is 2

Greatest Common Factor of 4262 and 4270 by matching factors method

Factors of 4262

List of positive integer factors of 4262 that divides 4262 without a remainder.

1,2,2131,4262

Factors of 4270

List of positive integer factors of 4270 that divides 4270 without a remainder.

1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270

Greatest Common Factor

We found the factors and prime factorization of 4262 and 4270. The biggest common factor number is the GCF number.
So the greatest common factor 4262 and 4270 is 2.

Also check out the Least Common Multiple of 4262 and 4270

Properties of GCF 4262 and 4270

(i) The GCF of 4262 and 4270 is associative

GCF of 4262 and 4270 = GCF of 4270 and 4262

Related Greatest Common Factor of 4262

Related Greatest Common Factor of 4270

Frequently Asked Questions on GCF of 4262 and 4270

1. What is the GCF of 4262 and 4270?

Answer: GCF of 4262 and 4270 is 2.

2. What are the Factors of 4262?

Answer: Factors of 4262 are 1, 2, 2131, 4262. There are 4 integers that are factors of 4262. The greatest factor of 4262 is 4262.

3. What are the Factors of 4270?

Answer: Factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270. There are 16 integers that are factors of 4270. The greatest factor of 4270 is 4270.

4. How to Find the GCF of 4262 and 4270?

Answer:

Greatest Common Factor of 4262 and 4270 = 2

Step 1: Find the prime factorization of 4262

4262 = 2 x 2131

Step 2: Find the prime factorization of 4270

4270 = 2 x 5 x 7 x 61

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4262 and 4270 is 2