Greatest Common Factor of 5062 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 5062, 5064 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5062 and 5064 is 2.

GCF(5062,5064) = 2

GCF of 5062 and 5064

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

GCF of:
and

Greatest Common Factor of 5062 and 5064

GCF of 5062 and 5064 is 2

Prime Factorization of 5062


2 5062
2531 2531
1

Prime factors of 5062 are 2,2531. Prime factorization of 5062 in exponential form is:

5062 = 21×25311

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 5062 and 5064 is 2

Greatest Common Factor of 5062 and 5064 by matching factors method

Factors of 5062

List of positive integer factors of 5062 that divides 5062 without a remainder.

1,2,2531,5062

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 5062 and 5064. The biggest common factor number is the GCF number.
So the greatest common factor 5062 and 5064 is 2.

Also check out the Least Common Multiple of 5062 and 5064

Properties of GCF 5062 and 5064

(i) The GCF of 5062 and 5064 is associative

GCF of 5062 and 5064 = GCF of 5064 and 5062

Related Greatest Common Factor of 5062

Related Greatest Common Factor of 5064

Frequently Asked Questions on GCF of 5062 and 5064

1. What is the GCF of 5062 and 5064?

Answer: GCF of 5062 and 5064 is 2.

2. What are the Factors of 5062?

Answer: Factors of 5062 are 1, 2, 2531, 5062. There are 4 integers that are factors of 5062. The greatest factor of 5062 is 5062.

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 5062 and 5064?

Answer:

Greatest Common Factor of 5062 and 5064 = 2

Step 1: Find the prime factorization of 5062

5062 = 2 x 2531

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

Step 4: Therefore, the greatest common factor of 5062 and 5064 is 2