Greatest Common Factor of 548 and 554

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 548, 554 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 548 and 554 is 2.

GCF(548,554) = 2

GCF of 548 and 554

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

GCF of:
and

Greatest Common Factor of 548 and 554

GCF of 548 and 554 is 2

Prime Factorization of 548


2 548
2 274
137 137
1

Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:

548 = 22×1371

Prime Factorization of 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

∴ So by taking common prime factors GCF of 548 and 554 is 2

Greatest Common Factor of 548 and 554 by matching factors method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors and prime factorization of 548 and 554. The biggest common factor number is the GCF number.
So the greatest common factor 548 and 554 is 2.

Also check out the Least Common Multiple of 548 and 554

Properties of GCF 548 and 554

(i) The GCF of 548 and 554 is associative

GCF of 548 and 554 = GCF of 554 and 548

Related Greatest Common Factor of 548

Related Greatest Common Factor of 554

Frequently Asked Questions on GCF of 548 and 554

1. What is the GCF of 548 and 554?

Answer: GCF of 548 and 554 is 2.

2. What are the Factors of 548?

Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.

3. What are the Factors of 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

4. How to Find the GCF of 548 and 554?

Answer:

Greatest Common Factor of 548 and 554 = 2

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 554

554 = 2 x 277

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 548 and 554 is 2