Greatest Common Factor of 7479 and 7480

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 7479, 7480 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7479 and 7480 is 1.

GCF(7479,7480) = 1

GCF of 7479 and 7480

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

GCF of:
and

Greatest Common Factor of 7479 and 7480

GCF of 7479 and 7480 is 1

Prime Factorization of 7479


3 7479
3 2493
3 831
277 277
1

Prime factors of 7479 are 3,277. Prime factorization of 7479 in exponential form is:

7479 = 33×2771

Prime Factorization of 7480


2 7480
2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 7480 are 2,5,11,17. Prime factorization of 7480 in exponential form is:

7480 = 23×51×111×171

∴ So by taking common prime factors GCF of 7479 and 7480 is 1

Greatest Common Factor of 7479 and 7480 by matching factors method

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480

Greatest Common Factor

We found the factors and prime factorization of 7479 and 7480. The biggest common factor number is the GCF number.
So the greatest common factor 7479 and 7480 is 1.

Also check out the Least Common Multiple of 7479 and 7480

Properties of GCF 7479 and 7480

(i) The GCF of 7479 and 7480 is associative

GCF of 7479 and 7480 = GCF of 7480 and 7479

Related Greatest Common Factor of 7479

Related Greatest Common Factor of 7480

Frequently Asked Questions on GCF of 7479 and 7480

1. What is the GCF of 7479 and 7480?

Answer: GCF of 7479 and 7480 is 1.

2. What are the Factors of 7479?

Answer: Factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479. There are 8 integers that are factors of 7479. The greatest factor of 7479 is 7479.

3. What are the Factors of 7480?

Answer: Factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480. There are 32 integers that are factors of 7480. The greatest factor of 7480 is 7480.

4. How to Find the GCF of 7479 and 7480?

Answer:

Greatest Common Factor of 7479 and 7480 = 1

Step 1: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

Step 2: Find the prime factorization of 7480

7480 = 2 x 2 x 2 x 5 x 11 x 17

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7479 and 7480 is 1