Greatest Common Factor of 8612 and 8618

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 8612, 8618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8612 and 8618 is 2.

GCF(8612,8618) = 2

GCF of 8612 and 8618

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

GCF of:
and

Greatest Common Factor of 8612 and 8618

GCF of 8612 and 8618 is 2

Prime Factorization of 8612


2 8612
2 4306
2153 2153
1

Prime factors of 8612 are 2,2153. Prime factorization of 8612 in exponential form is:

8612 = 22×21531

Prime Factorization of 8618


2 8618
31 4309
139 139
1

Prime factors of 8618 are 2,31,139. Prime factorization of 8618 in exponential form is:

8618 = 21×311×1391

∴ So by taking common prime factors GCF of 8612 and 8618 is 2

Greatest Common Factor of 8612 and 8618 by matching factors method

Factors of 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1,2,4,2153,4306,8612

Factors of 8618

List of positive integer factors of 8618 that divides 8618 without a remainder.

1,2,31,62,139,278,4309,8618

Greatest Common Factor

We found the factors and prime factorization of 8612 and 8618. The biggest common factor number is the GCF number.
So the greatest common factor 8612 and 8618 is 2.

Also check out the Least Common Multiple of 8612 and 8618

Properties of GCF 8612 and 8618

(i) The GCF of 8612 and 8618 is associative

GCF of 8612 and 8618 = GCF of 8618 and 8612

Related Greatest Common Factor of 8612

Related Greatest Common Factor of 8618

Frequently Asked Questions on GCF of 8612 and 8618

1. What is the GCF of 8612 and 8618?

Answer: GCF of 8612 and 8618 is 2.

2. What are the Factors of 8612?

Answer: Factors of 8612 are 1, 2, 4, 2153, 4306, 8612. There are 6 integers that are factors of 8612. The greatest factor of 8612 is 8612.

3. What are the Factors of 8618?

Answer: Factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618. There are 8 integers that are factors of 8618. The greatest factor of 8618 is 8618.

4. How to Find the GCF of 8612 and 8618?

Answer:

Greatest Common Factor of 8612 and 8618 = 2

Step 1: Find the prime factorization of 8612

8612 = 2 x 2 x 2153

Step 2: Find the prime factorization of 8618

8618 = 2 x 31 x 139

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 8612 and 8618 is 2