Greatest Common Factor of 2548 and 2551

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, 2551 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2548 and 2551 is 1.

GCF(2548,2551) = 1

GCF of 2548 and 2551

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

GCF of:
and

Greatest Common Factor of 2548 and 2551

GCF of 2548 and 2551 is 1

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 2551


2551 2551
1

Prime factors of 2551 are 2551. Prime factorization of 2551 in exponential form is:

2551 = 25511

∴ So by taking common prime factors GCF of 2548 and 2551 is 1

Greatest Common Factor of 2548 and 2551 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 2551

List of positive integer factors of 2551 that divides 2551 without a remainder.

1,2551

Greatest Common Factor

We found the factors and prime factorization of 2548 and 2551. The biggest common factor number is the GCF number.
So the greatest common factor 2548 and 2551 is 1.

Also check out the Least Common Multiple of 2548 and 2551

Properties of GCF 2548 and 2551

(i) The GCF of 2548 and 2551 is associative

GCF of 2548 and 2551 = GCF of 2551 and 2548

Frequently Asked Questions on GCF of 2548 and 2551

1. What is the GCF of 2548 and 2551?

Answer: GCF of 2548 and 2551 is 1.

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 2551?

Answer: Factors of 2551 are 1, 2551. There are 2 integers that are factors of 2551. The greatest factor of 2551 is 2551.

4. How to Find the GCF of 2548 and 2551?

Answer:

Greatest Common Factor of 2548 and 2551 = 1

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 2551

2551 = 2551

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2548 and 2551 is 1