Greatest Common Factor of 2480 and 2484

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 2480, 2484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2480 and 2484 is 4.

GCF(2480,2484) = 4

GCF of 2480 and 2484

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

GCF of:
and

Greatest Common Factor of 2480 and 2484

GCF of 2480 and 2484 is 4

Prime Factorization of 2480


2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 2480 are 2,5,31. Prime factorization of 2480 in exponential form is:

2480 = 24×51×311

Prime Factorization of 2484


2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 2484 are 2,3,23. Prime factorization of 2484 in exponential form is:

2484 = 22×33×231

∴ So by taking common prime factors GCF of 2480 and 2484 is 4

Greatest Common Factor of 2480 and 2484 by matching factors method

Factors of 2480

List of positive integer factors of 2480 that divides 2480 without a remainder.

1,2,4,5,8,10,16,20,31,40,62,80,124,155,248,310,496,620,1240,2480

Factors of 2484

List of positive integer factors of 2484 that divides 2484 without a remainder.

1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484

Greatest Common Factor

We found the factors and prime factorization of 2480 and 2484. The biggest common factor number is the GCF number.
So the greatest common factor 2480 and 2484 is 4.

Also check out the Least Common Multiple of 2480 and 2484

Properties of GCF 2480 and 2484

(i) The GCF of 2480 and 2484 is associative

GCF of 2480 and 2484 = GCF of 2484 and 2480

Related Greatest Common Factor of 2480

Related Greatest Common Factor of 2484

Frequently Asked Questions on GCF of 2480 and 2484

1. What is the GCF of 2480 and 2484?

Answer: GCF of 2480 and 2484 is 4.

2. What are the Factors of 2480?

Answer: Factors of 2480 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480. There are 20 integers that are factors of 2480. The greatest factor of 2480 is 2480.

3. What are the Factors of 2484?

Answer: Factors of 2484 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484. There are 24 integers that are factors of 2484. The greatest factor of 2484 is 2484.

4. How to Find the GCF of 2480 and 2484?

Answer:

Greatest Common Factor of 2480 and 2484 = 4

Step 1: Find the prime factorization of 2480

2480 = 2 x 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 2484

2484 = 2 x 2 x 3 x 3 x 3 x 23

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 2480 and 2484 is 4