Greatest Common Factor of 3050 and 3054

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 3050, 3054 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3050 and 3054 is 2.

GCF(3050,3054) = 2

GCF of 3050 and 3054

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

GCF of:
and

Greatest Common Factor of 3050 and 3054

GCF of 3050 and 3054 is 2

Prime Factorization of 3050


2 3050
5 1525
5 305
61 61
1

Prime factors of 3050 are 2,5,61. Prime factorization of 3050 in exponential form is:

3050 = 21×52×611

Prime Factorization of 3054


2 3054
3 1527
509 509
1

Prime factors of 3054 are 2,3,509. Prime factorization of 3054 in exponential form is:

3054 = 21×31×5091

∴ So by taking common prime factors GCF of 3050 and 3054 is 2

Greatest Common Factor of 3050 and 3054 by matching factors method

Factors of 3050

List of positive integer factors of 3050 that divides 3050 without a remainder.

1,2,5,10,25,50,61,122,305,610,1525,3050

Factors of 3054

List of positive integer factors of 3054 that divides 3054 without a remainder.

1,2,3,6,509,1018,1527,3054

Greatest Common Factor

We found the factors and prime factorization of 3050 and 3054. The biggest common factor number is the GCF number.
So the greatest common factor 3050 and 3054 is 2.

Also check out the Least Common Multiple of 3050 and 3054

Properties of GCF 3050 and 3054

(i) The GCF of 3050 and 3054 is associative

GCF of 3050 and 3054 = GCF of 3054 and 3050

Related Greatest Common Factor of 3050

Related Greatest Common Factor of 3054

Frequently Asked Questions on GCF of 3050 and 3054

1. What is the GCF of 3050 and 3054?

Answer: GCF of 3050 and 3054 is 2.

2. What are the Factors of 3050?

Answer: Factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050. There are 12 integers that are factors of 3050. The greatest factor of 3050 is 3050.

3. What are the Factors of 3054?

Answer: Factors of 3054 are 1, 2, 3, 6, 509, 1018, 1527, 3054. There are 8 integers that are factors of 3054. The greatest factor of 3054 is 3054.

4. How to Find the GCF of 3050 and 3054?

Answer:

Greatest Common Factor of 3050 and 3054 = 2

Step 1: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 3054

3054 = 2 x 3 x 509

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 3050 and 3054 is 2