Greatest Common Factor of 526 and 532

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 526, 532 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 526 and 532 is 2.

GCF(526,532) = 2

GCF of 526 and 532

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

GCF of:
and

Greatest Common Factor of 526 and 532

GCF of 526 and 532 is 2

Prime Factorization of 526


2 526
263 263
1

Prime factors of 526 are 2,263. Prime factorization of 526 in exponential form is:

526 = 21×2631

Prime Factorization of 532


2 532
2 266
7 133
19 19
1

Prime factors of 532 are 2,7,19. Prime factorization of 532 in exponential form is:

532 = 22×71×191

∴ So by taking common prime factors GCF of 526 and 532 is 2

Greatest Common Factor of 526 and 532 by matching factors method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors and prime factorization of 526 and 532. The biggest common factor number is the GCF number.
So the greatest common factor 526 and 532 is 2.

Also check out the Least Common Multiple of 526 and 532

Properties of GCF 526 and 532

(i) The GCF of 526 and 532 is associative

GCF of 526 and 532 = GCF of 532 and 526

Related Greatest Common Factor of 526

Related Greatest Common Factor of 532

Frequently Asked Questions on GCF of 526 and 532

1. What is the GCF of 526 and 532?

Answer: GCF of 526 and 532 is 2.

2. What are the Factors of 526?

Answer: Factors of 526 are 1, 2, 263, 526. There are 4 integers that are factors of 526. The greatest factor of 526 is 526.

3. What are the Factors of 532?

Answer: Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. There are 12 integers that are factors of 532. The greatest factor of 532 is 532.

4. How to Find the GCF of 526 and 532?

Answer:

Greatest Common Factor of 526 and 532 = 2

Step 1: Find the prime factorization of 526

526 = 2 x 263

Step 2: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

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 526 and 532 is 2