Greatest Common Factor of 5064 and 5071

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, 5071 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5064 and 5071 is 1.

GCF(5064,5071) = 1

GCF of 5064 and 5071

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

GCF of:
and

Greatest Common Factor of 5064 and 5071

GCF of 5064 and 5071 is 1

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 5071


11 5071
461 461
1

Prime factors of 5071 are 11,461. Prime factorization of 5071 in exponential form is:

5071 = 111×4611

∴ So by taking common prime factors GCF of 5064 and 5071 is 1

Greatest Common Factor of 5064 and 5071 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 5071

List of positive integer factors of 5071 that divides 5071 without a remainder.

1,11,461,5071

Greatest Common Factor

We found the factors and prime factorization of 5064 and 5071. The biggest common factor number is the GCF number.
So the greatest common factor 5064 and 5071 is 1.

Also check out the Least Common Multiple of 5064 and 5071

Properties of GCF 5064 and 5071

(i) The GCF of 5064 and 5071 is associative

GCF of 5064 and 5071 = GCF of 5071 and 5064

Related Greatest Common Factor of 5064

Related Greatest Common Factor of 5071

Frequently Asked Questions on GCF of 5064 and 5071

1. What is the GCF of 5064 and 5071?

Answer: GCF of 5064 and 5071 is 1.

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 5071?

Answer: Factors of 5071 are 1, 11, 461, 5071. There are 4 integers that are factors of 5071. The greatest factor of 5071 is 5071.

4. How to Find the GCF of 5064 and 5071?

Answer:

Greatest Common Factor of 5064 and 5071 = 1

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 5071

5071 = 11 x 461

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5064 and 5071 is 1