Greatest Common Factor of 5064 and 5072

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, 5072 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5064 and 5072 is 8.

GCF(5064,5072) = 8

GCF of 5064 and 5072

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

GCF of:
and

Greatest Common Factor of 5064 and 5072

GCF of 5064 and 5072 is 8

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 5072


2 5072
2 2536
2 1268
2 634
317 317
1

Prime factors of 5072 are 2,317. Prime factorization of 5072 in exponential form is:

5072 = 24×3171

∴ So by taking common prime factors GCF of 5064 and 5072 is 8

Greatest Common Factor of 5064 and 5072 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 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1,2,4,8,16,317,634,1268,2536,5072

Greatest Common Factor

We found the factors and prime factorization of 5064 and 5072. The biggest common factor number is the GCF number.
So the greatest common factor 5064 and 5072 is 8.

Also check out the Least Common Multiple of 5064 and 5072

Properties of GCF 5064 and 5072

(i) The GCF of 5064 and 5072 is associative

GCF of 5064 and 5072 = GCF of 5072 and 5064

Related Greatest Common Factor of 5064

Related Greatest Common Factor of 5072

Frequently Asked Questions on GCF of 5064 and 5072

1. What is the GCF of 5064 and 5072?

Answer: GCF of 5064 and 5072 is 8.

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 5072?

Answer: Factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072. There are 10 integers that are factors of 5072. The greatest factor of 5072 is 5072.

4. How to Find the GCF of 5064 and 5072?

Answer:

Greatest Common Factor of 5064 and 5072 = 8

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 5072

5072 = 2 x 2 x 2 x 2 x 317

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 5064 and 5072 is 8