Greatest Common Factor of 7454 and 7458

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 7454, 7458 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7454 and 7458 is 2.

GCF(7454,7458) = 2

GCF of 7454 and 7458

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

GCF of:
and

Greatest Common Factor of 7454 and 7458

GCF of 7454 and 7458 is 2

Prime Factorization of 7454


2 7454
3727 3727
1

Prime factors of 7454 are 2,3727. Prime factorization of 7454 in exponential form is:

7454 = 21×37271

Prime Factorization of 7458


2 7458
3 3729
11 1243
113 113
1

Prime factors of 7458 are 2,3,11,113. Prime factorization of 7458 in exponential form is:

7458 = 21×31×111×1131

∴ So by taking common prime factors GCF of 7454 and 7458 is 2

Greatest Common Factor of 7454 and 7458 by matching factors method

Factors of 7454

List of positive integer factors of 7454 that divides 7454 without a remainder.

1,2,3727,7454

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458

Greatest Common Factor

We found the factors and prime factorization of 7454 and 7458. The biggest common factor number is the GCF number.
So the greatest common factor 7454 and 7458 is 2.

Also check out the Least Common Multiple of 7454 and 7458

Properties of GCF 7454 and 7458

(i) The GCF of 7454 and 7458 is associative

GCF of 7454 and 7458 = GCF of 7458 and 7454

Related Greatest Common Factor of 7454

Related Greatest Common Factor of 7458

Frequently Asked Questions on GCF of 7454 and 7458

1. What is the GCF of 7454 and 7458?

Answer: GCF of 7454 and 7458 is 2.

2. What are the Factors of 7454?

Answer: Factors of 7454 are 1, 2, 3727, 7454. There are 4 integers that are factors of 7454. The greatest factor of 7454 is 7454.

3. What are the Factors of 7458?

Answer: Factors of 7458 are 1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729, 7458. There are 16 integers that are factors of 7458. The greatest factor of 7458 is 7458.

4. How to Find the GCF of 7454 and 7458?

Answer:

Greatest Common Factor of 7454 and 7458 = 2

Step 1: Find the prime factorization of 7454

7454 = 2 x 3727

Step 2: Find the prime factorization of 7458

7458 = 2 x 3 x 11 x 113

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 7454 and 7458 is 2