Greatest Common Factor of 9050 and 9054

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 9050, 9054 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9050 and 9054 is 2.

GCF(9050,9054) = 2

GCF of 9050 and 9054

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

GCF of:
and

Greatest Common Factor of 9050 and 9054

GCF of 9050 and 9054 is 2

Prime Factorization of 9050


2 9050
5 4525
5 905
181 181
1

Prime factors of 9050 are 2,5,181. Prime factorization of 9050 in exponential form is:

9050 = 21×52×1811

Prime Factorization of 9054


2 9054
3 4527
3 1509
503 503
1

Prime factors of 9054 are 2,3,503. Prime factorization of 9054 in exponential form is:

9054 = 21×32×5031

∴ So by taking common prime factors GCF of 9050 and 9054 is 2

Greatest Common Factor of 9050 and 9054 by matching factors method

Factors of 9050

List of positive integer factors of 9050 that divides 9050 without a remainder.

1,2,5,10,25,50,181,362,905,1810,4525,9050

Factors of 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1,2,3,6,9,18,503,1006,1509,3018,4527,9054

Greatest Common Factor

We found the factors and prime factorization of 9050 and 9054. The biggest common factor number is the GCF number.
So the greatest common factor 9050 and 9054 is 2.

Also check out the Least Common Multiple of 9050 and 9054

Properties of GCF 9050 and 9054

(i) The GCF of 9050 and 9054 is associative

GCF of 9050 and 9054 = GCF of 9054 and 9050

Related Greatest Common Factor of 9050

Related Greatest Common Factor of 9054

Frequently Asked Questions on GCF of 9050 and 9054

1. What is the GCF of 9050 and 9054?

Answer: GCF of 9050 and 9054 is 2.

2. What are the Factors of 9050?

Answer: Factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050. There are 12 integers that are factors of 9050. The greatest factor of 9050 is 9050.

3. What are the Factors of 9054?

Answer: Factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054. There are 12 integers that are factors of 9054. The greatest factor of 9054 is 9054.

4. How to Find the GCF of 9050 and 9054?

Answer:

Greatest Common Factor of 9050 and 9054 = 2

Step 1: Find the prime factorization of 9050

9050 = 2 x 5 x 5 x 181

Step 2: Find the prime factorization of 9054

9054 = 2 x 3 x 3 x 503

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 9050 and 9054 is 2