Greatest Common Factor of 2478 and 2485

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 2478, 2485 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2478 and 2485 is 7.

GCF(2478,2485) = 7

GCF of 2478 and 2485

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

GCF of:
and

Greatest Common Factor of 2478 and 2485

GCF of 2478 and 2485 is 7

Prime Factorization of 2478


2 2478
3 1239
7 413
59 59
1

Prime factors of 2478 are 2,3,7,59. Prime factorization of 2478 in exponential form is:

2478 = 21×31×71×591

Prime Factorization of 2485


5 2485
7 497
71 71
1

Prime factors of 2485 are 5,7,71. Prime factorization of 2485 in exponential form is:

2485 = 51×71×711

∴ So by taking common prime factors GCF of 2478 and 2485 is 7

Greatest Common Factor of 2478 and 2485 by matching factors method

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478

Factors of 2485

List of positive integer factors of 2485 that divides 2485 without a remainder.

1,5,7,35,71,355,497,2485

Greatest Common Factor

We found the factors and prime factorization of 2478 and 2485. The biggest common factor number is the GCF number.
So the greatest common factor 2478 and 2485 is 7.

Also check out the Least Common Multiple of 2478 and 2485

Properties of GCF 2478 and 2485

(i) The GCF of 2478 and 2485 is associative

GCF of 2478 and 2485 = GCF of 2485 and 2478

Related Greatest Common Factor of 2478

Related Greatest Common Factor of 2485

Frequently Asked Questions on GCF of 2478 and 2485

1. What is the GCF of 2478 and 2485?

Answer: GCF of 2478 and 2485 is 7.

2. What are the Factors of 2478?

Answer: Factors of 2478 are 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478. There are 16 integers that are factors of 2478. The greatest factor of 2478 is 2478.

3. What are the Factors of 2485?

Answer: Factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485. There are 8 integers that are factors of 2485. The greatest factor of 2485 is 2485.

4. How to Find the GCF of 2478 and 2485?

Answer:

Greatest Common Factor of 2478 and 2485 = 7

Step 1: Find the prime factorization of 2478

2478 = 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 2485

2485 = 5 x 7 x 71

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2478 and 2485 is 7