Greatest Common Factor of 5076 and 5080

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 5076, 5080 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5076 and 5080 is 4.

GCF(5076,5080) = 4

GCF of 5076 and 5080

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

GCF of:
and

Greatest Common Factor of 5076 and 5080

GCF of 5076 and 5080 is 4

Prime Factorization of 5076


2 5076
2 2538
3 1269
3 423
3 141
47 47
1

Prime factors of 5076 are 2,3,47. Prime factorization of 5076 in exponential form is:

5076 = 22×33×471

Prime Factorization of 5080


2 5080
2 2540
2 1270
5 635
127 127
1

Prime factors of 5080 are 2,5,127. Prime factorization of 5080 in exponential form is:

5080 = 23×51×1271

∴ So by taking common prime factors GCF of 5076 and 5080 is 4

Greatest Common Factor of 5076 and 5080 by matching factors method

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Factors of 5080

List of positive integer factors of 5080 that divides 5080 without a remainder.

1,2,4,5,8,10,20,40,127,254,508,635,1016,1270,2540,5080

Greatest Common Factor

We found the factors and prime factorization of 5076 and 5080. The biggest common factor number is the GCF number.
So the greatest common factor 5076 and 5080 is 4.

Also check out the Least Common Multiple of 5076 and 5080

Properties of GCF 5076 and 5080

(i) The GCF of 5076 and 5080 is associative

GCF of 5076 and 5080 = GCF of 5080 and 5076

Related Greatest Common Factor of 5076

Related Greatest Common Factor of 5080

Frequently Asked Questions on GCF of 5076 and 5080

1. What is the GCF of 5076 and 5080?

Answer: GCF of 5076 and 5080 is 4.

2. What are the Factors of 5076?

Answer: Factors of 5076 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 108, 141, 188, 282, 423, 564, 846, 1269, 1692, 2538, 5076. There are 24 integers that are factors of 5076. The greatest factor of 5076 is 5076.

3. What are the Factors of 5080?

Answer: Factors of 5080 are 1, 2, 4, 5, 8, 10, 20, 40, 127, 254, 508, 635, 1016, 1270, 2540, 5080. There are 16 integers that are factors of 5080. The greatest factor of 5080 is 5080.

4. How to Find the GCF of 5076 and 5080?

Answer:

Greatest Common Factor of 5076 and 5080 = 4

Step 1: Find the prime factorization of 5076

5076 = 2 x 2 x 3 x 3 x 3 x 47

Step 2: Find the prime factorization of 5080

5080 = 2 x 2 x 2 x 5 x 127

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5076 and 5080 is 4