Greatest Common Factor of 536 and 544

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 536, 544 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 536 and 544 is 8.

GCF(536,544) = 8

GCF of 536 and 544

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

GCF of:
and

Greatest Common Factor of 536 and 544

GCF of 536 and 544 is 8

Prime Factorization of 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

Prime Factorization of 544


2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 544 are 2,17. Prime factorization of 544 in exponential form is:

544 = 25×171

∴ So by taking common prime factors GCF of 536 and 544 is 8

Greatest Common Factor of 536 and 544 by matching factors method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors and prime factorization of 536 and 544. The biggest common factor number is the GCF number.
So the greatest common factor 536 and 544 is 8.

Also check out the Least Common Multiple of 536 and 544

Properties of GCF 536 and 544

(i) The GCF of 536 and 544 is associative

GCF of 536 and 544 = GCF of 544 and 536

Related Greatest Common Factor of 536

Related Greatest Common Factor of 544

Frequently Asked Questions on GCF of 536 and 544

1. What is the GCF of 536 and 544?

Answer: GCF of 536 and 544 is 8.

2. What are the Factors of 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

3. What are the Factors of 544?

Answer: Factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. There are 12 integers that are factors of 544. The greatest factor of 544 is 544.

4. How to Find the GCF of 536 and 544?

Answer:

Greatest Common Factor of 536 and 544 = 8

Step 1: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 544

544 = 2 x 2 x 2 x 2 x 2 x 17

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 536 and 544 is 8