Greatest Common Factor of 7546 and 7552

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 7546, 7552 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7546 and 7552 is 2.

GCF(7546,7552) = 2

GCF of 7546 and 7552

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

GCF of:
and

Greatest Common Factor of 7546 and 7552

GCF of 7546 and 7552 is 2

Prime Factorization of 7546


2 7546
7 3773
7 539
7 77
11 11
1

Prime factors of 7546 are 2,7,11. Prime factorization of 7546 in exponential form is:

7546 = 21×73×111

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

∴ So by taking common prime factors GCF of 7546 and 7552 is 2

Greatest Common Factor of 7546 and 7552 by matching factors method

Factors of 7546

List of positive integer factors of 7546 that divides 7546 without a remainder.

1,2,7,11,14,22,49,77,98,154,343,539,686,1078,3773,7546

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

Greatest Common Factor

We found the factors and prime factorization of 7546 and 7552. The biggest common factor number is the GCF number.
So the greatest common factor 7546 and 7552 is 2.

Also check out the Least Common Multiple of 7546 and 7552

Properties of GCF 7546 and 7552

(i) The GCF of 7546 and 7552 is associative

GCF of 7546 and 7552 = GCF of 7552 and 7546

Related Greatest Common Factor of 7546

Related Greatest Common Factor of 7552

Frequently Asked Questions on GCF of 7546 and 7552

1. What is the GCF of 7546 and 7552?

Answer: GCF of 7546 and 7552 is 2.

2. What are the Factors of 7546?

Answer: Factors of 7546 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 343, 539, 686, 1078, 3773, 7546. There are 16 integers that are factors of 7546. The greatest factor of 7546 is 7546.

3. 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.

4. How to Find the GCF of 7546 and 7552?

Answer:

Greatest Common Factor of 7546 and 7552 = 2

Step 1: Find the prime factorization of 7546

7546 = 2 x 7 x 7 x 7 x 11

Step 2: Find the prime factorization of 7552

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7546 and 7552 is 2