What is the Greatest Common Factor of 514 and 526?

Greatest common factor (GCF) of 514 and 526 is 2.

GCF(514,526) = 2

We will now calculate the prime factors of 514 and 526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 514 and 526.

How to find the GCF of 514 and 526?

We will first find the prime factorization of 514 and 526. After we will calculate the factors of 514 and 526 and find the biggest common factor number .

Step-1: Prime Factorization of 514

Prime factors of 514 are 2, 257. Prime factorization of 514 in exponential form is:

514 = 2¹ × 257¹

Step-2: Prime Factorization of 526

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

526 = 2¹ × 263¹

Step-3: Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1, 2, 257

Step-4: Factors of 526

List of positive integer factors of 526 that divides 514 without a remainder.

1, 2, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 514 and 526. The biggest common factor number is the GCF number.
So the greatest common factor 514 and 526 is 2.

Also check out the Least Common Multiple of 514 and 526