What is the Greatest Common Factor of 33490 and 33505?

Greatest common factor (GCF) of 33490 and 33505 is 5.

GCF(33490,33505) = 5

We will now calculate the prime factors of 33490 and 33505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33490 and 33505.

How to find the GCF of 33490 and 33505?

We will first find the prime factorization of 33490 and 33505. After we will calculate the factors of 33490 and 33505 and find the biggest common factor number .

Step-1: Prime Factorization of 33490

Prime factors of 33490 are 2, 5, 17, 197. Prime factorization of 33490 in exponential form is:

33490 = 2¹ × 5¹ × 17¹ × 197¹

Step-2: Prime Factorization of 33505

Prime factors of 33505 are 5, 6701. Prime factorization of 33505 in exponential form is:

33505 = 5¹ × 6701¹

Step-3: Factors of 33490

List of positive integer factors of 33490 that divides 33490 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 197, 394, 985, 1970, 3349, 6698, 16745

Step-4: Factors of 33505

List of positive integer factors of 33505 that divides 33490 without a remainder.

1, 5, 6701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33490 and 33505. The biggest common factor number is the GCF number.
So the greatest common factor 33490 and 33505 is 5.

Also check out the Least Common Multiple of 33490 and 33505