Greatest Common Factor of 7440 and 7448

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 7440, 7448 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7440 and 7448 is 8.

GCF(7440,7448) = 8

GCF of 7440 and 7448

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

GCF of:
and

Greatest Common Factor of 7440 and 7448

GCF of 7440 and 7448 is 8

Prime Factorization of 7440


2 7440
2 3720
2 1860
2 930
3 465
5 155
31 31
1

Prime factors of 7440 are 2,3,5,31. Prime factorization of 7440 in exponential form is:

7440 = 24×31×51×311

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

∴ So by taking common prime factors GCF of 7440 and 7448 is 8

Greatest Common Factor of 7440 and 7448 by matching factors method

Factors of 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440

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

Greatest Common Factor

We found the factors and prime factorization of 7440 and 7448. The biggest common factor number is the GCF number.
So the greatest common factor 7440 and 7448 is 8.

Also check out the Least Common Multiple of 7440 and 7448

Properties of GCF 7440 and 7448

(i) The GCF of 7440 and 7448 is associative

GCF of 7440 and 7448 = GCF of 7448 and 7440

Related Greatest Common Factor of 7440

Related Greatest Common Factor of 7448

Frequently Asked Questions on GCF of 7440 and 7448

1. What is the GCF of 7440 and 7448?

Answer: GCF of 7440 and 7448 is 8.

2. What are the Factors of 7440?

Answer: Factors of 7440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720, 7440. There are 40 integers that are factors of 7440. The greatest factor of 7440 is 7440.

3. 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.

4. How to Find the GCF of 7440 and 7448?

Answer:

Greatest Common Factor of 7440 and 7448 = 8

Step 1: Find the prime factorization of 7440

7440 = 2 x 2 x 2 x 2 x 3 x 5 x 31

Step 2: Find the prime factorization of 7448

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7440 and 7448 is 8