Greatest Common Factor of 7460 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 7460, 7464 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7460 and 7464 is 4.

GCF(7460,7464) = 4

GCF of 7460 and 7464

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

GCF of:
and

Greatest Common Factor of 7460 and 7464

GCF of 7460 and 7464 is 4

Prime Factorization of 7460


2 7460
2 3730
5 1865
373 373
1

Prime factors of 7460 are 2,5,373. Prime factorization of 7460 in exponential form is:

7460 = 22×51×3731

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 7460 and 7464 is 4

Greatest Common Factor of 7460 and 7464 by matching factors method

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1,2,4,5,10,20,373,746,1492,1865,3730,7460

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 7460 and 7464. The biggest common factor number is the GCF number.
So the greatest common factor 7460 and 7464 is 4.

Also check out the Least Common Multiple of 7460 and 7464

Properties of GCF 7460 and 7464

(i) The GCF of 7460 and 7464 is associative

GCF of 7460 and 7464 = GCF of 7464 and 7460

Related Greatest Common Factor of 7460

Related Greatest Common Factor of 7464

Frequently Asked Questions on GCF of 7460 and 7464

1. What is the GCF of 7460 and 7464?

Answer: GCF of 7460 and 7464 is 4.

2. What are the Factors of 7460?

Answer: Factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460. There are 12 integers that are factors of 7460. The greatest factor of 7460 is 7460.

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 7460 and 7464?

Answer:

Greatest Common Factor of 7460 and 7464 = 4

Step 1: Find the prime factorization of 7460

7460 = 2 x 2 x 5 x 373

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 2 = 4

Step 4: Therefore, the greatest common factor of 7460 and 7464 is 4