Greatest Common Factor of 5240 and 5246

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 5240, 5246 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5240 and 5246 is 2.

GCF(5240,5246) = 2

GCF of 5240 and 5246

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

GCF of:
and

Greatest Common Factor of 5240 and 5246

GCF of 5240 and 5246 is 2

Prime Factorization of 5240


2 5240
2 2620
2 1310
5 655
131 131
1

Prime factors of 5240 are 2,5,131. Prime factorization of 5240 in exponential form is:

5240 = 23×51×1311

Prime Factorization of 5246


2 5246
43 2623
61 61
1

Prime factors of 5246 are 2,43,61. Prime factorization of 5246 in exponential form is:

5246 = 21×431×611

∴ So by taking common prime factors GCF of 5240 and 5246 is 2

Greatest Common Factor of 5240 and 5246 by matching factors method

Factors of 5240

List of positive integer factors of 5240 that divides 5240 without a remainder.

1,2,4,5,8,10,20,40,131,262,524,655,1048,1310,2620,5240

Factors of 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1,2,43,61,86,122,2623,5246

Greatest Common Factor

We found the factors and prime factorization of 5240 and 5246. The biggest common factor number is the GCF number.
So the greatest common factor 5240 and 5246 is 2.

Also check out the Least Common Multiple of 5240 and 5246

Properties of GCF 5240 and 5246

(i) The GCF of 5240 and 5246 is associative

GCF of 5240 and 5246 = GCF of 5246 and 5240

Related Greatest Common Factor of 5240

Related Greatest Common Factor of 5246

Frequently Asked Questions on GCF of 5240 and 5246

1. What is the GCF of 5240 and 5246?

Answer: GCF of 5240 and 5246 is 2.

2. What are the Factors of 5240?

Answer: Factors of 5240 are 1, 2, 4, 5, 8, 10, 20, 40, 131, 262, 524, 655, 1048, 1310, 2620, 5240. There are 16 integers that are factors of 5240. The greatest factor of 5240 is 5240.

3. What are the Factors of 5246?

Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.

4. How to Find the GCF of 5240 and 5246?

Answer:

Greatest Common Factor of 5240 and 5246 = 2

Step 1: Find the prime factorization of 5240

5240 = 2 x 2 x 2 x 5 x 131

Step 2: Find the prime factorization of 5246

5246 = 2 x 43 x 61

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 5240 and 5246 is 2