Greatest Common Factor of 4450 and 4454

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 4450, 4454 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4450 and 4454 is 2.

GCF(4450,4454) = 2

GCF of 4450 and 4454

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

GCF of:
and

Greatest Common Factor of 4450 and 4454

GCF of 4450 and 4454 is 2

Prime Factorization of 4450


2 4450
5 2225
5 445
89 89
1

Prime factors of 4450 are 2,5,89. Prime factorization of 4450 in exponential form is:

4450 = 21×52×891

Prime Factorization of 4454


2 4454
17 2227
131 131
1

Prime factors of 4454 are 2,17,131. Prime factorization of 4454 in exponential form is:

4454 = 21×171×1311

∴ So by taking common prime factors GCF of 4450 and 4454 is 2

Greatest Common Factor of 4450 and 4454 by matching factors method

Factors of 4450

List of positive integer factors of 4450 that divides 4450 without a remainder.

1,2,5,10,25,50,89,178,445,890,2225,4450

Factors of 4454

List of positive integer factors of 4454 that divides 4454 without a remainder.

1,2,17,34,131,262,2227,4454

Greatest Common Factor

We found the factors and prime factorization of 4450 and 4454. The biggest common factor number is the GCF number.
So the greatest common factor 4450 and 4454 is 2.

Also check out the Least Common Multiple of 4450 and 4454

Properties of GCF 4450 and 4454

(i) The GCF of 4450 and 4454 is associative

GCF of 4450 and 4454 = GCF of 4454 and 4450

Related Greatest Common Factor of 4450

Related Greatest Common Factor of 4454

Frequently Asked Questions on GCF of 4450 and 4454

1. What is the GCF of 4450 and 4454?

Answer: GCF of 4450 and 4454 is 2.

2. What are the Factors of 4450?

Answer: Factors of 4450 are 1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450. There are 12 integers that are factors of 4450. The greatest factor of 4450 is 4450.

3. What are the Factors of 4454?

Answer: Factors of 4454 are 1, 2, 17, 34, 131, 262, 2227, 4454. There are 8 integers that are factors of 4454. The greatest factor of 4454 is 4454.

4. How to Find the GCF of 4450 and 4454?

Answer:

Greatest Common Factor of 4450 and 4454 = 2

Step 1: Find the prime factorization of 4450

4450 = 2 x 5 x 5 x 89

Step 2: Find the prime factorization of 4454

4454 = 2 x 17 x 131

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 4450 and 4454 is 2