Greatest Common Factor of 5062 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 5062, 5067 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5062 and 5067 is 1.

GCF(5062,5067) = 1

GCF of 5062 and 5067

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

GCF of:
and

Greatest Common Factor of 5062 and 5067

GCF of 5062 and 5067 is 1

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 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 5062 and 5067 is 1

Greatest Common Factor of 5062 and 5067 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 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 5062 and 5067. The biggest common factor number is the GCF number.
So the greatest common factor 5062 and 5067 is 1.

Also check out the Least Common Multiple of 5062 and 5067

Properties of GCF 5062 and 5067

(i) The GCF of 5062 and 5067 is associative

GCF of 5062 and 5067 = GCF of 5067 and 5062

Related Greatest Common Factor of 5062

Related Greatest Common Factor of 5067

Frequently Asked Questions on GCF of 5062 and 5067

1. What is the GCF of 5062 and 5067?

Answer: GCF of 5062 and 5067 is 1.

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 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 5062 and 5067?

Answer:

Greatest Common Factor of 5062 and 5067 = 1

Step 1: Find the prime factorization of 5062

5062 = 2 x 2531

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 = = 1

Step 4: Therefore, the greatest common factor of 5062 and 5067 is 1