Greatest Common Factor of 2548 and 2555

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 2548, 2555 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2548 and 2555 is 7.

GCF(2548,2555) = 7

GCF of 2548 and 2555

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

GCF of:
and

Greatest Common Factor of 2548 and 2555

GCF of 2548 and 2555 is 7

Prime Factorization of 2548


2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 2548 are 2,7,13. Prime factorization of 2548 in exponential form is:

2548 = 22×72×131

Prime Factorization of 2555


5 2555
7 511
73 73
1

Prime factors of 2555 are 5,7,73. Prime factorization of 2555 in exponential form is:

2555 = 51×71×731

∴ So by taking common prime factors GCF of 2548 and 2555 is 7

Greatest Common Factor of 2548 and 2555 by matching factors method

Factors of 2548

List of positive integer factors of 2548 that divides 2548 without a remainder.

1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548

Factors of 2555

List of positive integer factors of 2555 that divides 2555 without a remainder.

1,5,7,35,73,365,511,2555

Greatest Common Factor

We found the factors and prime factorization of 2548 and 2555. The biggest common factor number is the GCF number.
So the greatest common factor 2548 and 2555 is 7.

Also check out the Least Common Multiple of 2548 and 2555

Properties of GCF 2548 and 2555

(i) The GCF of 2548 and 2555 is associative

GCF of 2548 and 2555 = GCF of 2555 and 2548

Related Greatest Common Factor of 2548

Related Greatest Common Factor of 2555

Frequently Asked Questions on GCF of 2548 and 2555

1. What is the GCF of 2548 and 2555?

Answer: GCF of 2548 and 2555 is 7.

2. What are the Factors of 2548?

Answer: Factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548. There are 18 integers that are factors of 2548. The greatest factor of 2548 is 2548.

3. What are the Factors of 2555?

Answer: Factors of 2555 are 1, 5, 7, 35, 73, 365, 511, 2555. There are 8 integers that are factors of 2555. The greatest factor of 2555 is 2555.

4. How to Find the GCF of 2548 and 2555?

Answer:

Greatest Common Factor of 2548 and 2555 = 7

Step 1: Find the prime factorization of 2548

2548 = 2 x 2 x 7 x 7 x 13

Step 2: Find the prime factorization of 2555

2555 = 5 x 7 x 73

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 2548 and 2555 is 7