What is the Greatest Common Factor of 33014 and 33026?

Greatest common factor (GCF) of 33014 and 33026 is 2.

GCF(33014,33026) = 2

We will now calculate the prime factors of 33014 and 33026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33014 and 33026.

How to find the GCF of 33014 and 33026?

We will first find the prime factorization of 33014 and 33026. After we will calculate the factors of 33014 and 33026 and find the biggest common factor number .

Step-1: Prime Factorization of 33014

Prime factors of 33014 are 2, 17, 971. Prime factorization of 33014 in exponential form is:

33014 = 2¹ × 17¹ × 971¹

Step-2: Prime Factorization of 33026

Prime factors of 33026 are 2, 7, 337. Prime factorization of 33026 in exponential form is:

33026 = 2¹ × 7² × 337¹

Step-3: Factors of 33014

List of positive integer factors of 33014 that divides 33014 without a remainder.

1, 2, 17, 34, 971, 1942, 16507

Step-4: Factors of 33026

List of positive integer factors of 33026 that divides 33014 without a remainder.

1, 2, 7, 14, 49, 98, 337, 674, 2359, 4718, 16513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33014 and 33026. The biggest common factor number is the GCF number.
So the greatest common factor 33014 and 33026 is 2.

Also check out the Least Common Multiple of 33014 and 33026