Greatest Common Factor of 7456 and 7462

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 7456, 7462 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7456 and 7462 is 2.

GCF(7456,7462) = 2

GCF of 7456 and 7462

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

GCF of:
and

Greatest Common Factor of 7456 and 7462

GCF of 7456 and 7462 is 2

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

Prime Factorization of 7462


2 7462
7 3731
13 533
41 41
1

Prime factors of 7462 are 2,7,13,41. Prime factorization of 7462 in exponential form is:

7462 = 21×71×131×411

∴ So by taking common prime factors GCF of 7456 and 7462 is 2

Greatest Common Factor of 7456 and 7462 by matching factors method

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

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462

Greatest Common Factor

We found the factors and prime factorization of 7456 and 7462. The biggest common factor number is the GCF number.
So the greatest common factor 7456 and 7462 is 2.

Also check out the Least Common Multiple of 7456 and 7462

Properties of GCF 7456 and 7462

(i) The GCF of 7456 and 7462 is associative

GCF of 7456 and 7462 = GCF of 7462 and 7456

Related Greatest Common Factor of 7456

Related Greatest Common Factor of 7462

Frequently Asked Questions on GCF of 7456 and 7462

1. What is the GCF of 7456 and 7462?

Answer: GCF of 7456 and 7462 is 2.

2. 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.

3. What are the Factors of 7462?

Answer: Factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462. There are 16 integers that are factors of 7462. The greatest factor of 7462 is 7462.

4. How to Find the GCF of 7456 and 7462?

Answer:

Greatest Common Factor of 7456 and 7462 = 2

Step 1: Find the prime factorization of 7456

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

Step 2: Find the prime factorization of 7462

7462 = 2 x 7 x 13 x 41

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 7456 and 7462 is 2