Greatest Common Factor of 7553 and 7560

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 7553, 7560 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7553 and 7560 is 7.

GCF(7553,7560) = 7

GCF of 7553 and 7560

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

GCF of:
and

Greatest Common Factor of 7553 and 7560

GCF of 7553 and 7560 is 7

Prime Factorization of 7553


7 7553
13 1079
83 83
1

Prime factors of 7553 are 7,13,83. Prime factorization of 7553 in exponential form is:

7553 = 71×131×831

Prime Factorization of 7560


2 7560
2 3780
2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 7560 are 2,3,5,7. Prime factorization of 7560 in exponential form is:

7560 = 23×33×51×71

∴ So by taking common prime factors GCF of 7553 and 7560 is 7

Greatest Common Factor of 7553 and 7560 by matching factors method

Factors of 7553

List of positive integer factors of 7553 that divides 7553 without a remainder.

1,7,13,83,91,581,1079,7553

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560

Greatest Common Factor

We found the factors and prime factorization of 7553 and 7560. The biggest common factor number is the GCF number.
So the greatest common factor 7553 and 7560 is 7.

Also check out the Least Common Multiple of 7553 and 7560

Properties of GCF 7553 and 7560

(i) The GCF of 7553 and 7560 is associative

GCF of 7553 and 7560 = GCF of 7560 and 7553

Related Greatest Common Factor of 7553

Related Greatest Common Factor of 7560

Frequently Asked Questions on GCF of 7553 and 7560

1. What is the GCF of 7553 and 7560?

Answer: GCF of 7553 and 7560 is 7.

2. What are the Factors of 7553?

Answer: Factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553. There are 8 integers that are factors of 7553. The greatest factor of 7553 is 7553.

3. What are the Factors of 7560?

Answer: Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560. There are 64 integers that are factors of 7560. The greatest factor of 7560 is 7560.

4. How to Find the GCF of 7553 and 7560?

Answer:

Greatest Common Factor of 7553 and 7560 = 7

Step 1: Find the prime factorization of 7553

7553 = 7 x 13 x 83

Step 2: Find the prime factorization of 7560

7560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7

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 7553 and 7560 is 7