What is the Greatest Common Factor of 526 and 533?

Greatest common factor (GCF) of 526 and 533 is 1.

GCF(526,533) = 1

We will now calculate the prime factors of 526 and 533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 526 and 533.

How to find the GCF of 526 and 533?

We will first find the prime factorization of 526 and 533. After we will calculate the factors of 526 and 533 and find the biggest common factor number .

Step-1: Prime Factorization of 526

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

526 = 2¹ × 263¹

Step-2: Prime Factorization of 533

Prime factors of 533 are 13, 41. Prime factorization of 533 in exponential form is:

533 = 13¹ × 41¹

Step-3: Factors of 526

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

1, 2, 263

Step-4: Factors of 533

List of positive integer factors of 533 that divides 526 without a remainder.

1, 13, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 526 and 533. The biggest common factor number is the GCF number.
So the greatest common factor 526 and 533 is 1.

Also check out the Least Common Multiple of 526 and 533