Greatest Common Factor of 5053 and 5057

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 5053, 5057 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5053 and 5057 is 1.

GCF(5053,5057) = 1

GCF of 5053 and 5057

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

GCF of:
and

Greatest Common Factor of 5053 and 5057

GCF of 5053 and 5057 is 1

Prime Factorization of 5053


31 5053
163 163
1

Prime factors of 5053 are 31,163. Prime factorization of 5053 in exponential form is:

5053 = 311×1631

Prime Factorization of 5057


13 5057
389 389
1

Prime factors of 5057 are 13,389. Prime factorization of 5057 in exponential form is:

5057 = 131×3891

∴ So by taking common prime factors GCF of 5053 and 5057 is 1

Greatest Common Factor of 5053 and 5057 by matching factors method

Factors of 5053

List of positive integer factors of 5053 that divides 5053 without a remainder.

1,31,163,5053

Factors of 5057

List of positive integer factors of 5057 that divides 5057 without a remainder.

1,13,389,5057

Greatest Common Factor

We found the factors and prime factorization of 5053 and 5057. The biggest common factor number is the GCF number.
So the greatest common factor 5053 and 5057 is 1.

Also check out the Least Common Multiple of 5053 and 5057

Properties of GCF 5053 and 5057

(i) The GCF of 5053 and 5057 is associative

GCF of 5053 and 5057 = GCF of 5057 and 5053

Related Greatest Common Factor of 5053

Related Greatest Common Factor of 5057

Frequently Asked Questions on GCF of 5053 and 5057

1. What is the GCF of 5053 and 5057?

Answer: GCF of 5053 and 5057 is 1.

2. What are the Factors of 5053?

Answer: Factors of 5053 are 1, 31, 163, 5053. There are 4 integers that are factors of 5053. The greatest factor of 5053 is 5053.

3. What are the Factors of 5057?

Answer: Factors of 5057 are 1, 13, 389, 5057. There are 4 integers that are factors of 5057. The greatest factor of 5057 is 5057.

4. How to Find the GCF of 5053 and 5057?

Answer:

Greatest Common Factor of 5053 and 5057 = 1

Step 1: Find the prime factorization of 5053

5053 = 31 x 163

Step 2: Find the prime factorization of 5057

5057 = 13 x 389

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 5053 and 5057 is 1