Greatest Common Factor of 67016 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 67016, 67024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67016 and 67024 is 8.

GCF(67016,67024) = 8

GCF of 67016 and 67024

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

GCF of:
and

Greatest Common Factor of 67016 and 67024

GCF of 67016 and 67024 is 8

Prime Factorization of 67016


2 67016
2 33508
2 16754
8377 8377
1

Prime factors of 67016 are 2,8377. Prime factorization of 67016 in exponential form is:

67016 = 23×83771

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 67016 and 67024 is 8

Greatest Common Factor of 67016 and 67024 by matching factors method

Factors of 67016

List of positive integer factors of 67016 that divides 67016 without a remainder.

1,2,4,8,8377,16754,33508,67016

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 67016 and 67024. The biggest common factor number is the GCF number.
So the greatest common factor 67016 and 67024 is 8.

Also check out the Least Common Multiple of 67016 and 67024

Properties of GCF 67016 and 67024

(i) The GCF of 67016 and 67024 is associative

GCF of 67016 and 67024 = GCF of 67024 and 67016

Related Greatest Common Factor of 67016

Related Greatest Common Factor of 67024

Frequently Asked Questions on GCF of 67016 and 67024

1. What is the GCF of 67016 and 67024?

Answer: GCF of 67016 and 67024 is 8.

2. What are the Factors of 67016?

Answer: Factors of 67016 are 1, 2, 4, 8, 8377, 16754, 33508, 67016. There are 8 integers that are factors of 67016. The greatest factor of 67016 is 67016.

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 67016 and 67024?

Answer:

Greatest Common Factor of 67016 and 67024 = 8

Step 1: Find the prime factorization of 67016

67016 = 2 x 2 x 2 x 8377

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 67016 and 67024 is 8