Greatest Common Factor of 7552 and 7556

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, 7556 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7552 and 7556 is 4.

GCF(7552,7556) = 4

GCF of 7552 and 7556

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

GCF of:
and

Greatest Common Factor of 7552 and 7556

GCF of 7552 and 7556 is 4

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 7556


2 7556
2 3778
1889 1889
1

Prime factors of 7556 are 2,1889. Prime factorization of 7556 in exponential form is:

7556 = 22×18891

∴ So by taking common prime factors GCF of 7552 and 7556 is 4

Greatest Common Factor of 7552 and 7556 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 7556

List of positive integer factors of 7556 that divides 7556 without a remainder.

1,2,4,1889,3778,7556

Greatest Common Factor

We found the factors and prime factorization of 7552 and 7556. The biggest common factor number is the GCF number.
So the greatest common factor 7552 and 7556 is 4.

Also check out the Least Common Multiple of 7552 and 7556

Properties of GCF 7552 and 7556

(i) The GCF of 7552 and 7556 is associative

GCF of 7552 and 7556 = GCF of 7556 and 7552

Related Greatest Common Factor of 7552

Related Greatest Common Factor of 7556

Frequently Asked Questions on GCF of 7552 and 7556

1. What is the GCF of 7552 and 7556?

Answer: GCF of 7552 and 7556 is 4.

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 7556?

Answer: Factors of 7556 are 1, 2, 4, 1889, 3778, 7556. There are 6 integers that are factors of 7556. The greatest factor of 7556 is 7556.

4. How to Find the GCF of 7552 and 7556?

Answer:

Greatest Common Factor of 7552 and 7556 = 4

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 7556

7556 = 2 x 2 x 1889

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7552 and 7556 is 4