What is the Greatest Common Factor of 33070 and 33085?

Greatest common factor (GCF) of 33070 and 33085 is 5.

GCF(33070,33085) = 5

We will now calculate the prime factors of 33070 and 33085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33070 and 33085.

How to find the GCF of 33070 and 33085?

We will first find the prime factorization of 33070 and 33085. After we will calculate the factors of 33070 and 33085 and find the biggest common factor number .

Step-1: Prime Factorization of 33070

Prime factors of 33070 are 2, 5, 3307. Prime factorization of 33070 in exponential form is:

33070 = 2¹ × 5¹ × 3307¹

Step-2: Prime Factorization of 33085

Prime factors of 33085 are 5, 13, 509. Prime factorization of 33085 in exponential form is:

33085 = 5¹ × 13¹ × 509¹

Step-3: Factors of 33070

List of positive integer factors of 33070 that divides 33070 without a remainder.

1, 2, 5, 10, 3307, 6614, 16535

Step-4: Factors of 33085

List of positive integer factors of 33085 that divides 33070 without a remainder.

1, 5, 13, 65, 509, 2545, 6617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33070 and 33085. The biggest common factor number is the GCF number.
So the greatest common factor 33070 and 33085 is 5.

Also check out the Least Common Multiple of 33070 and 33085