Greatest Common Factor of 2474 and 2480

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 2474, 2480 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2474 and 2480 is 2.

GCF(2474,2480) = 2

GCF of 2474 and 2480

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

GCF of:
and

Greatest Common Factor of 2474 and 2480

GCF of 2474 and 2480 is 2

Prime Factorization of 2474


2 2474
1237 1237
1

Prime factors of 2474 are 2,1237. Prime factorization of 2474 in exponential form is:

2474 = 21×12371

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

∴ So by taking common prime factors GCF of 2474 and 2480 is 2

Greatest Common Factor of 2474 and 2480 by matching factors method

Factors of 2474

List of positive integer factors of 2474 that divides 2474 without a remainder.

1,2,1237,2474

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

Greatest Common Factor

We found the factors and prime factorization of 2474 and 2480. The biggest common factor number is the GCF number.
So the greatest common factor 2474 and 2480 is 2.

Also check out the Least Common Multiple of 2474 and 2480

Properties of GCF 2474 and 2480

(i) The GCF of 2474 and 2480 is associative

GCF of 2474 and 2480 = GCF of 2480 and 2474

Related Greatest Common Factor of 2474

Related Greatest Common Factor of 2480

Frequently Asked Questions on GCF of 2474 and 2480

1. What is the GCF of 2474 and 2480?

Answer: GCF of 2474 and 2480 is 2.

2. What are the Factors of 2474?

Answer: Factors of 2474 are 1, 2, 1237, 2474. There are 4 integers that are factors of 2474. The greatest factor of 2474 is 2474.

3. 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.

4. How to Find the GCF of 2474 and 2480?

Answer:

Greatest Common Factor of 2474 and 2480 = 2

Step 1: Find the prime factorization of 2474

2474 = 2 x 1237

Step 2: Find the prime factorization of 2480

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

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 2474 and 2480 is 2