Greatest Common Factor of 526 and 534

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

Greatest common factor (GCF) of 526 and 534 is 2.

GCF(526,534) = 2

GCF of 526 and 534

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

GCF of:
and

Greatest Common Factor of 526 and 534

GCF of 526 and 534 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 534


2 534
3 267
89 89
1

Prime factors of 534 are 2,3,89. Prime factorization of 534 in exponential form is:

534 = 21×31×891

∴ So by taking common prime factors GCF of 526 and 534 is 2

Greatest Common Factor of 526 and 534 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 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors and prime factorization of 526 and 534. The biggest common factor number is the GCF number.
So the greatest common factor 526 and 534 is 2.

Also check out the Least Common Multiple of 526 and 534

Properties of GCF 526 and 534

(i) The GCF of 526 and 534 is associative

GCF of 526 and 534 = GCF of 534 and 526

Related Greatest Common Factor of 526

Related Greatest Common Factor of 534

Frequently Asked Questions on GCF of 526 and 534

1. What is the GCF of 526 and 534?

Answer: GCF of 526 and 534 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 534?

Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.

4. How to Find the GCF of 526 and 534?

Answer:

Greatest Common Factor of 526 and 534 = 2

Step 1: Find the prime factorization of 526

526 = 2 x 263

Step 2: Find the prime factorization of 534

534 = 2 x 3 x 89

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 534 is 2