Greatest Common Factor of 5060 and 5064

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 5060, 5064 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5060 and 5064 is 4.

GCF(5060,5064) = 4

GCF of 5060 and 5064

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

GCF of:
and

Greatest Common Factor of 5060 and 5064

GCF of 5060 and 5064 is 4

Prime Factorization of 5060


2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 5060 are 2,5,11,23. Prime factorization of 5060 in exponential form is:

5060 = 22×51×111×231

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

∴ So by taking common prime factors GCF of 5060 and 5064 is 4

Greatest Common Factor of 5060 and 5064 by matching factors method

Factors of 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060

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

Greatest Common Factor

We found the factors and prime factorization of 5060 and 5064. The biggest common factor number is the GCF number.
So the greatest common factor 5060 and 5064 is 4.

Also check out the Least Common Multiple of 5060 and 5064

Properties of GCF 5060 and 5064

(i) The GCF of 5060 and 5064 is associative

GCF of 5060 and 5064 = GCF of 5064 and 5060

Related Greatest Common Factor of 5060

Related Greatest Common Factor of 5064

Frequently Asked Questions on GCF of 5060 and 5064

1. What is the GCF of 5060 and 5064?

Answer: GCF of 5060 and 5064 is 4.

2. What are the Factors of 5060?

Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.

3. 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.

4. How to Find the GCF of 5060 and 5064?

Answer:

Greatest Common Factor of 5060 and 5064 = 4

Step 1: Find the prime factorization of 5060

5060 = 2 x 2 x 5 x 11 x 23

Step 2: Find the prime factorization of 5064

5064 = 2 x 2 x 2 x 3 x 211

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5060 and 5064 is 4