Greatest Common Factor of 450 and 451

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 450, 451 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 450 and 451 is 1.

GCF(450,451) = 1

GCF of 450 and 451

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

GCF of:
and

Greatest Common Factor of 450 and 451

GCF of 450 and 451 is 1

Prime Factorization of 450


2 450
3 225
3 75
5 25
5 5
1

Prime factors of 450 are 2,3,5. Prime factorization of 450 in exponential form is:

450 = 21×32×52

Prime Factorization of 451


11 451
41 41
1

Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:

451 = 111×411

∴ So by taking common prime factors GCF of 450 and 451 is 1

Greatest Common Factor of 450 and 451 by matching factors method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors and prime factorization of 450 and 451. The biggest common factor number is the GCF number.
So the greatest common factor 450 and 451 is 1.

Also check out the Least Common Multiple of 450 and 451

Properties of GCF 450 and 451

(i) The GCF of 450 and 451 is associative

GCF of 450 and 451 = GCF of 451 and 450

Related Greatest Common Factor of 450

Related Greatest Common Factor of 451

Frequently Asked Questions on GCF of 450 and 451

1. What is the GCF of 450 and 451?

Answer: GCF of 450 and 451 is 1.

2. What are the Factors of 450?

Answer: Factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. There are 18 integers that are factors of 450. The greatest factor of 450 is 450.

3. What are the Factors of 451?

Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.

4. How to Find the GCF of 450 and 451?

Answer:

Greatest Common Factor of 450 and 451 = 1

Step 1: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 451

451 = 11 x 41

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 450 and 451 is 1