Greatest Common Factor of 5026 and 5033

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 5026, 5033 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5026 and 5033 is 7.

GCF(5026,5033) = 7

GCF of 5026 and 5033

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

GCF of:
and

Greatest Common Factor of 5026 and 5033

GCF of 5026 and 5033 is 7

Prime Factorization of 5026


2 5026
7 2513
359 359
1

Prime factors of 5026 are 2,7,359. Prime factorization of 5026 in exponential form is:

5026 = 21×71×3591

Prime Factorization of 5033


7 5033
719 719
1

Prime factors of 5033 are 7,719. Prime factorization of 5033 in exponential form is:

5033 = 71×7191

∴ So by taking common prime factors GCF of 5026 and 5033 is 7

Greatest Common Factor of 5026 and 5033 by matching factors method

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1,2,7,14,359,718,2513,5026

Factors of 5033

List of positive integer factors of 5033 that divides 5033 without a remainder.

1,7,719,5033

Greatest Common Factor

We found the factors and prime factorization of 5026 and 5033. The biggest common factor number is the GCF number.
So the greatest common factor 5026 and 5033 is 7.

Also check out the Least Common Multiple of 5026 and 5033

Properties of GCF 5026 and 5033

(i) The GCF of 5026 and 5033 is associative

GCF of 5026 and 5033 = GCF of 5033 and 5026

Related Greatest Common Factor of 5026

Related Greatest Common Factor of 5033

Frequently Asked Questions on GCF of 5026 and 5033

1. What is the GCF of 5026 and 5033?

Answer: GCF of 5026 and 5033 is 7.

2. What are the Factors of 5026?

Answer: Factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026. There are 8 integers that are factors of 5026. The greatest factor of 5026 is 5026.

3. What are the Factors of 5033?

Answer: Factors of 5033 are 1, 7, 719, 5033. There are 4 integers that are factors of 5033. The greatest factor of 5033 is 5033.

4. How to Find the GCF of 5026 and 5033?

Answer:

Greatest Common Factor of 5026 and 5033 = 7

Step 1: Find the prime factorization of 5026

5026 = 2 x 7 x 359

Step 2: Find the prime factorization of 5033

5033 = 7 x 719

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5026 and 5033 is 7