Greatest Common Factor of 1548 and 1552

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 1548, 1552 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1548 and 1552 is 4.

GCF(1548,1552) = 4

GCF of 1548 and 1552

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

GCF of:
and

Greatest Common Factor of 1548 and 1552

GCF of 1548 and 1552 is 4

Prime Factorization of 1548


2 1548
2 774
3 387
3 129
43 43
1

Prime factors of 1548 are 2,3,43. Prime factorization of 1548 in exponential form is:

1548 = 22×32×431

Prime Factorization of 1552


2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 1552 are 2,97. Prime factorization of 1552 in exponential form is:

1552 = 24×971

∴ So by taking common prime factors GCF of 1548 and 1552 is 4

Greatest Common Factor of 1548 and 1552 by matching factors method

Factors of 1548

List of positive integer factors of 1548 that divides 1548 without a remainder.

1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1,2,4,8,16,97,194,388,776,1552

Greatest Common Factor

We found the factors and prime factorization of 1548 and 1552. The biggest common factor number is the GCF number.
So the greatest common factor 1548 and 1552 is 4.

Also check out the Least Common Multiple of 1548 and 1552

Properties of GCF 1548 and 1552

(i) The GCF of 1548 and 1552 is associative

GCF of 1548 and 1552 = GCF of 1552 and 1548

Related Greatest Common Factor of 1548

Related Greatest Common Factor of 1552

Frequently Asked Questions on GCF of 1548 and 1552

1. What is the GCF of 1548 and 1552?

Answer: GCF of 1548 and 1552 is 4.

2. What are the Factors of 1548?

Answer: Factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548. There are 18 integers that are factors of 1548. The greatest factor of 1548 is 1548.

3. What are the Factors of 1552?

Answer: Factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552. There are 10 integers that are factors of 1552. The greatest factor of 1552 is 1552.

4. How to Find the GCF of 1548 and 1552?

Answer:

Greatest Common Factor of 1548 and 1552 = 4

Step 1: Find the prime factorization of 1548

1548 = 2 x 2 x 3 x 3 x 43

Step 2: Find the prime factorization of 1552

1552 = 2 x 2 x 2 x 2 x 97

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 1548 and 1552 is 4