Greatest Common Factor of 7450 and 7456

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 7450, 7456 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7450 and 7456 is 2.

GCF(7450,7456) = 2

GCF of 7450 and 7456

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

GCF of:
and

Greatest Common Factor of 7450 and 7456

GCF of 7450 and 7456 is 2

Prime Factorization of 7450


2 7450
5 3725
5 745
149 149
1

Prime factors of 7450 are 2,5,149. Prime factorization of 7450 in exponential form is:

7450 = 21×52×1491

Prime Factorization of 7456


2 7456
2 3728
2 1864
2 932
2 466
233 233
1

Prime factors of 7456 are 2,233. Prime factorization of 7456 in exponential form is:

7456 = 25×2331

∴ So by taking common prime factors GCF of 7450 and 7456 is 2

Greatest Common Factor of 7450 and 7456 by matching factors method

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1,2,5,10,25,50,149,298,745,1490,3725,7450

Factors of 7456

List of positive integer factors of 7456 that divides 7456 without a remainder.

1,2,4,8,16,32,233,466,932,1864,3728,7456

Greatest Common Factor

We found the factors and prime factorization of 7450 and 7456. The biggest common factor number is the GCF number.
So the greatest common factor 7450 and 7456 is 2.

Also check out the Least Common Multiple of 7450 and 7456

Properties of GCF 7450 and 7456

(i) The GCF of 7450 and 7456 is associative

GCF of 7450 and 7456 = GCF of 7456 and 7450

Related Greatest Common Factor of 7450

Related Greatest Common Factor of 7456

Frequently Asked Questions on GCF of 7450 and 7456

1. What is the GCF of 7450 and 7456?

Answer: GCF of 7450 and 7456 is 2.

2. What are the Factors of 7450?

Answer: Factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450. There are 12 integers that are factors of 7450. The greatest factor of 7450 is 7450.

3. What are the Factors of 7456?

Answer: Factors of 7456 are 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456. There are 12 integers that are factors of 7456. The greatest factor of 7456 is 7456.

4. How to Find the GCF of 7450 and 7456?

Answer:

Greatest Common Factor of 7450 and 7456 = 2

Step 1: Find the prime factorization of 7450

7450 = 2 x 5 x 5 x 149

Step 2: Find the prime factorization of 7456

7456 = 2 x 2 x 2 x 2 x 2 x 233

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 7450 and 7456 is 2