Greatest Common Factor of 7448 and 7455

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 7448, 7455 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7448 and 7455 is 7.

GCF(7448,7455) = 7

GCF of 7448 and 7455

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

GCF of:
and

Greatest Common Factor of 7448 and 7455

GCF of 7448 and 7455 is 7

Prime Factorization of 7448


2 7448
2 3724
2 1862
7 931
7 133
19 19
1

Prime factors of 7448 are 2,7,19. Prime factorization of 7448 in exponential form is:

7448 = 23×72×191

Prime Factorization of 7455


3 7455
5 2485
7 497
71 71
1

Prime factors of 7455 are 3,5,7,71. Prime factorization of 7455 in exponential form is:

7455 = 31×51×71×711

∴ So by taking common prime factors GCF of 7448 and 7455 is 7

Greatest Common Factor of 7448 and 7455 by matching factors method

Factors of 7448

List of positive integer factors of 7448 that divides 7448 without a remainder.

1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448

Factors of 7455

List of positive integer factors of 7455 that divides 7455 without a remainder.

1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455

Greatest Common Factor

We found the factors and prime factorization of 7448 and 7455. The biggest common factor number is the GCF number.
So the greatest common factor 7448 and 7455 is 7.

Also check out the Least Common Multiple of 7448 and 7455

Properties of GCF 7448 and 7455

(i) The GCF of 7448 and 7455 is associative

GCF of 7448 and 7455 = GCF of 7455 and 7448

Related Greatest Common Factor of 7448

Related Greatest Common Factor of 7455

Frequently Asked Questions on GCF of 7448 and 7455

1. What is the GCF of 7448 and 7455?

Answer: GCF of 7448 and 7455 is 7.

2. What are the Factors of 7448?

Answer: Factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448. There are 24 integers that are factors of 7448. The greatest factor of 7448 is 7448.

3. What are the Factors of 7455?

Answer: Factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455. There are 16 integers that are factors of 7455. The greatest factor of 7455 is 7455.

4. How to Find the GCF of 7448 and 7455?

Answer:

Greatest Common Factor of 7448 and 7455 = 7

Step 1: Find the prime factorization of 7448

7448 = 2 x 2 x 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 7455

7455 = 3 x 5 x 7 x 71

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7448 and 7455 is 7