Greatest Common Factor of 65008 and 65012

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 65008, 65012 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 65008 and 65012 is 4.

GCF(65008,65012) = 4

GCF of 65008 and 65012

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

GCF of:
and

Greatest Common Factor of 65008 and 65012

GCF of 65008 and 65012 is 4

Prime Factorization of 65008


2 65008
2 32504
2 16252
2 8126
17 4063
239 239
1

Prime factors of 65008 are 2,17,239. Prime factorization of 65008 in exponential form is:

65008 = 24×171×2391

Prime Factorization of 65012


2 65012
2 32506
16253 16253
1

Prime factors of 65012 are 2,16253. Prime factorization of 65012 in exponential form is:

65012 = 22×162531

∴ So by taking common prime factors GCF of 65008 and 65012 is 4

Greatest Common Factor of 65008 and 65012 by matching factors method

Factors of 65008

List of positive integer factors of 65008 that divides 65008 without a remainder.

1,2,4,8,16,17,34,68,136,239,272,478,956,1912,3824,4063,8126,16252,32504,65008

Factors of 65012

List of positive integer factors of 65012 that divides 65012 without a remainder.

1,2,4,16253,32506,65012

Greatest Common Factor

We found the factors and prime factorization of 65008 and 65012. The biggest common factor number is the GCF number.
So the greatest common factor 65008 and 65012 is 4.

Also check out the Least Common Multiple of 65008 and 65012

Properties of GCF 65008 and 65012

(i) The GCF of 65008 and 65012 is associative

GCF of 65008 and 65012 = GCF of 65012 and 65008

Related Greatest Common Factor of 65008

Related Greatest Common Factor of 65012

Frequently Asked Questions on GCF of 65008 and 65012

1. What is the GCF of 65008 and 65012?

Answer: GCF of 65008 and 65012 is 4.

2. What are the Factors of 65008?

Answer: Factors of 65008 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 239, 272, 478, 956, 1912, 3824, 4063, 8126, 16252, 32504, 65008. There are 20 integers that are factors of 65008. The greatest factor of 65008 is 65008.

3. What are the Factors of 65012?

Answer: Factors of 65012 are 1, 2, 4, 16253, 32506, 65012. There are 6 integers that are factors of 65012. The greatest factor of 65012 is 65012.

4. How to Find the GCF of 65008 and 65012?

Answer:

Greatest Common Factor of 65008 and 65012 = 4

Step 1: Find the prime factorization of 65008

65008 = 2 x 2 x 2 x 2 x 17 x 239

Step 2: Find the prime factorization of 65012

65012 = 2 x 2 x 16253

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 65008 and 65012 is 4