Greatest Common Factor of 67018 and 67024

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 67018, 67024 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67018 and 67024 is 2.

GCF(67018,67024) = 2

GCF of 67018 and 67024

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

GCF of:
and

Greatest Common Factor of 67018 and 67024

GCF of 67018 and 67024 is 2

Prime Factorization of 67018


2 67018
7 33509
4787 4787
1

Prime factors of 67018 are 2,7,4787. Prime factorization of 67018 in exponential form is:

67018 = 21×71×47871

Prime Factorization of 67024


2 67024
2 33512
2 16756
2 8378
59 4189
71 71
1

Prime factors of 67024 are 2,59,71. Prime factorization of 67024 in exponential form is:

67024 = 24×591×711

∴ So by taking common prime factors GCF of 67018 and 67024 is 2

Greatest Common Factor of 67018 and 67024 by matching factors method

Factors of 67018

List of positive integer factors of 67018 that divides 67018 without a remainder.

1,2,7,14,4787,9574,33509,67018

Factors of 67024

List of positive integer factors of 67024 that divides 67024 without a remainder.

1,2,4,8,16,59,71,118,142,236,284,472,568,944,1136,4189,8378,16756,33512,67024

Greatest Common Factor

We found the factors and prime factorization of 67018 and 67024. The biggest common factor number is the GCF number.
So the greatest common factor 67018 and 67024 is 2.

Also check out the Least Common Multiple of 67018 and 67024

Properties of GCF 67018 and 67024

(i) The GCF of 67018 and 67024 is associative

GCF of 67018 and 67024 = GCF of 67024 and 67018

Related Greatest Common Factor of 67018

Related Greatest Common Factor of 67024

Frequently Asked Questions on GCF of 67018 and 67024

1. What is the GCF of 67018 and 67024?

Answer: GCF of 67018 and 67024 is 2.

2. What are the Factors of 67018?

Answer: Factors of 67018 are 1, 2, 7, 14, 4787, 9574, 33509, 67018. There are 8 integers that are factors of 67018. The greatest factor of 67018 is 67018.

3. What are the Factors of 67024?

Answer: Factors of 67024 are 1, 2, 4, 8, 16, 59, 71, 118, 142, 236, 284, 472, 568, 944, 1136, 4189, 8378, 16756, 33512, 67024. There are 20 integers that are factors of 67024. The greatest factor of 67024 is 67024.

4. How to Find the GCF of 67018 and 67024?

Answer:

Greatest Common Factor of 67018 and 67024 = 2

Step 1: Find the prime factorization of 67018

67018 = 2 x 7 x 4787

Step 2: Find the prime factorization of 67024

67024 = 2 x 2 x 2 x 2 x 59 x 71

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 67018 and 67024 is 2