Greatest Common Factor of 1528 and 1532

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 1528, 1532 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1528 and 1532 is 4.

GCF(1528,1532) = 4

GCF of 1528 and 1532

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

GCF of:
and

Greatest Common Factor of 1528 and 1532

GCF of 1528 and 1532 is 4

Prime Factorization of 1528


2 1528
2 764
2 382
191 191
1

Prime factors of 1528 are 2,191. Prime factorization of 1528 in exponential form is:

1528 = 23×1911

Prime Factorization of 1532


2 1532
2 766
383 383
1

Prime factors of 1532 are 2,383. Prime factorization of 1532 in exponential form is:

1532 = 22×3831

∴ So by taking common prime factors GCF of 1528 and 1532 is 4

Greatest Common Factor of 1528 and 1532 by matching factors method

Factors of 1528

List of positive integer factors of 1528 that divides 1528 without a remainder.

1,2,4,8,191,382,764,1528

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Greatest Common Factor

We found the factors and prime factorization of 1528 and 1532. The biggest common factor number is the GCF number.
So the greatest common factor 1528 and 1532 is 4.

Also check out the Least Common Multiple of 1528 and 1532

Properties of GCF 1528 and 1532

(i) The GCF of 1528 and 1532 is associative

GCF of 1528 and 1532 = GCF of 1532 and 1528

Related Greatest Common Factor of 1528

Related Greatest Common Factor of 1532

Frequently Asked Questions on GCF of 1528 and 1532

1. What is the GCF of 1528 and 1532?

Answer: GCF of 1528 and 1532 is 4.

2. What are the Factors of 1528?

Answer: Factors of 1528 are 1, 2, 4, 8, 191, 382, 764, 1528. There are 8 integers that are factors of 1528. The greatest factor of 1528 is 1528.

3. What are the Factors of 1532?

Answer: Factors of 1532 are 1, 2, 4, 383, 766, 1532. There are 6 integers that are factors of 1532. The greatest factor of 1532 is 1532.

4. How to Find the GCF of 1528 and 1532?

Answer:

Greatest Common Factor of 1528 and 1532 = 4

Step 1: Find the prime factorization of 1528

1528 = 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 1532

1532 = 2 x 2 x 383

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 1528 and 1532 is 4