Greatest Common Factor of 7458 and 7464

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 7458, 7464 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7458 and 7464 is 6.

GCF(7458,7464) = 6

GCF of 7458 and 7464

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

GCF of:
and

Greatest Common Factor of 7458 and 7464

GCF of 7458 and 7464 is 6

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

Prime Factorization of 7464


2 7464
2 3732
2 1866
3 933
311 311
1

Prime factors of 7464 are 2,3,311. Prime factorization of 7464 in exponential form is:

7464 = 23×31×3111

∴ So by taking common prime factors GCF of 7458 and 7464 is 6

Greatest Common Factor of 7458 and 7464 by matching factors method

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

Factors of 7464

List of positive integer factors of 7464 that divides 7464 without a remainder.

1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464

Greatest Common Factor

We found the factors and prime factorization of 7458 and 7464. The biggest common factor number is the GCF number.
So the greatest common factor 7458 and 7464 is 6.

Also check out the Least Common Multiple of 7458 and 7464

Properties of GCF 7458 and 7464

(i) The GCF of 7458 and 7464 is associative

GCF of 7458 and 7464 = GCF of 7464 and 7458

Related Greatest Common Factor of 7458

Related Greatest Common Factor of 7464

Frequently Asked Questions on GCF of 7458 and 7464

1. What is the GCF of 7458 and 7464?

Answer: GCF of 7458 and 7464 is 6.

2. 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.

3. What are the Factors of 7464?

Answer: Factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464. There are 16 integers that are factors of 7464. The greatest factor of 7464 is 7464.

4. How to Find the GCF of 7458 and 7464?

Answer:

Greatest Common Factor of 7458 and 7464 = 6

Step 1: Find the prime factorization of 7458

7458 = 2 x 3 x 11 x 113

Step 2: Find the prime factorization of 7464

7464 = 2 x 2 x 2 x 3 x 311

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7458 and 7464 is 6