What is the Greatest Common Factor of 33514 and 33520?

Greatest common factor (GCF) of 33514 and 33520 is 2.

GCF(33514,33520) = 2

We will now calculate the prime factors of 33514 and 33520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33514 and 33520.

How to find the GCF of 33514 and 33520?

We will first find the prime factorization of 33514 and 33520. After we will calculate the factors of 33514 and 33520 and find the biggest common factor number .

Step-1: Prime Factorization of 33514

Prime factors of 33514 are 2, 13, 1289. Prime factorization of 33514 in exponential form is:

33514 = 2¹ × 13¹ × 1289¹

Step-2: Prime Factorization of 33520

Prime factors of 33520 are 2, 5, 419. Prime factorization of 33520 in exponential form is:

33520 = 2⁴ × 5¹ × 419¹

Step-3: Factors of 33514

List of positive integer factors of 33514 that divides 33514 without a remainder.

1, 2, 13, 26, 1289, 2578, 16757

Step-4: Factors of 33520

List of positive integer factors of 33520 that divides 33514 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 16760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33514 and 33520. The biggest common factor number is the GCF number.
So the greatest common factor 33514 and 33520 is 2.

Also check out the Least Common Multiple of 33514 and 33520