Greatest Common Factor of 5064 and 5067

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 5064, 5067 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5064 and 5067 is 3.

GCF(5064,5067) = 3

GCF of 5064 and 5067

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

GCF of:
and

Greatest Common Factor of 5064 and 5067

GCF of 5064 and 5067 is 3

Prime Factorization of 5064


2 5064
2 2532
2 1266
3 633
211 211
1

Prime factors of 5064 are 2,3,211. Prime factorization of 5064 in exponential form is:

5064 = 23×31×2111

Prime Factorization of 5067


3 5067
3 1689
563 563
1

Prime factors of 5067 are 3,563. Prime factorization of 5067 in exponential form is:

5067 = 32×5631

∴ So by taking common prime factors GCF of 5064 and 5067 is 3

Greatest Common Factor of 5064 and 5067 by matching factors method

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Factors of 5067

List of positive integer factors of 5067 that divides 5067 without a remainder.

1,3,9,563,1689,5067

Greatest Common Factor

We found the factors and prime factorization of 5064 and 5067. The biggest common factor number is the GCF number.
So the greatest common factor 5064 and 5067 is 3.

Also check out the Least Common Multiple of 5064 and 5067

Properties of GCF 5064 and 5067

(i) The GCF of 5064 and 5067 is associative

GCF of 5064 and 5067 = GCF of 5067 and 5064

Related Greatest Common Factor of 5064

Related Greatest Common Factor of 5067

Frequently Asked Questions on GCF of 5064 and 5067

1. What is the GCF of 5064 and 5067?

Answer: GCF of 5064 and 5067 is 3.

2. What are the Factors of 5064?

Answer: Factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064. There are 16 integers that are factors of 5064. The greatest factor of 5064 is 5064.

3. What are the Factors of 5067?

Answer: Factors of 5067 are 1, 3, 9, 563, 1689, 5067. There are 6 integers that are factors of 5067. The greatest factor of 5067 is 5067.

4. How to Find the GCF of 5064 and 5067?

Answer:

Greatest Common Factor of 5064 and 5067 = 3

Step 1: Find the prime factorization of 5064

5064 = 2 x 2 x 2 x 3 x 211

Step 2: Find the prime factorization of 5067

5067 = 3 x 3 x 563

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5064 and 5067 is 3