Greatest Common Factor of 5016 and 5024

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 5016, 5024 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5016 and 5024 is 8.

GCF(5016,5024) = 8

GCF of 5016 and 5024

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

GCF of:
and

Greatest Common Factor of 5016 and 5024

GCF of 5016 and 5024 is 8

Prime Factorization of 5016


2 5016
2 2508
2 1254
3 627
11 209
19 19
1

Prime factors of 5016 are 2,3,11,19. Prime factorization of 5016 in exponential form is:

5016 = 23×31×111×191

Prime Factorization of 5024


2 5024
2 2512
2 1256
2 628
2 314
157 157
1

Prime factors of 5024 are 2,157. Prime factorization of 5024 in exponential form is:

5024 = 25×1571

∴ So by taking common prime factors GCF of 5016 and 5024 is 8

Greatest Common Factor of 5016 and 5024 by matching factors method

Factors of 5016

List of positive integer factors of 5016 that divides 5016 without a remainder.

1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016

Factors of 5024

List of positive integer factors of 5024 that divides 5024 without a remainder.

1,2,4,8,16,32,157,314,628,1256,2512,5024

Greatest Common Factor

We found the factors and prime factorization of 5016 and 5024. The biggest common factor number is the GCF number.
So the greatest common factor 5016 and 5024 is 8.

Also check out the Least Common Multiple of 5016 and 5024

Properties of GCF 5016 and 5024

(i) The GCF of 5016 and 5024 is associative

GCF of 5016 and 5024 = GCF of 5024 and 5016

Related Greatest Common Factor of 5016

Related Greatest Common Factor of 5024

Frequently Asked Questions on GCF of 5016 and 5024

1. What is the GCF of 5016 and 5024?

Answer: GCF of 5016 and 5024 is 8.

2. What are the Factors of 5016?

Answer: Factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016. There are 32 integers that are factors of 5016. The greatest factor of 5016 is 5016.

3. What are the Factors of 5024?

Answer: Factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024. There are 12 integers that are factors of 5024. The greatest factor of 5024 is 5024.

4. How to Find the GCF of 5016 and 5024?

Answer:

Greatest Common Factor of 5016 and 5024 = 8

Step 1: Find the prime factorization of 5016

5016 = 2 x 2 x 2 x 3 x 11 x 19

Step 2: Find the prime factorization of 5024

5024 = 2 x 2 x 2 x 2 x 2 x 157

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 5016 and 5024 is 8