Greatest Common Factor of 7552 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 7552, 7560 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7552 and 7560 is 8.

GCF(7552,7560) = 8

GCF of 7552 and 7560

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

GCF of:
and

Greatest Common Factor of 7552 and 7560

GCF of 7552 and 7560 is 8

Prime Factorization of 7552


2 7552
2 3776
2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 7552 are 2,59. Prime factorization of 7552 in exponential form is:

7552 = 27×591

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 7552 and 7560 is 8

Greatest Common Factor of 7552 and 7560 by matching factors method

Factors of 7552

List of positive integer factors of 7552 that divides 7552 without a remainder.

1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552

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 7552 and 7560. The biggest common factor number is the GCF number.
So the greatest common factor 7552 and 7560 is 8.

Also check out the Least Common Multiple of 7552 and 7560

Properties of GCF 7552 and 7560

(i) The GCF of 7552 and 7560 is associative

GCF of 7552 and 7560 = GCF of 7560 and 7552

Related Greatest Common Factor of 7552

Related Greatest Common Factor of 7560

Frequently Asked Questions on GCF of 7552 and 7560

1. What is the GCF of 7552 and 7560?

Answer: GCF of 7552 and 7560 is 8.

2. What are the Factors of 7552?

Answer: Factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552. There are 16 integers that are factors of 7552. The greatest factor of 7552 is 7552.

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 7552 and 7560?

Answer:

Greatest Common Factor of 7552 and 7560 = 8

Step 1: Find the prime factorization of 7552

7552 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7552 and 7560 is 8