What is the Greatest Common Factor of 33074 and 33085?

Greatest common factor (GCF) of 33074 and 33085 is 1.

GCF(33074,33085) = 1

We will now calculate the prime factors of 33074 and 33085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33074 and 33085.

How to find the GCF of 33074 and 33085?

We will first find the prime factorization of 33074 and 33085. After we will calculate the factors of 33074 and 33085 and find the biggest common factor number .

Step-1: Prime Factorization of 33074

Prime factors of 33074 are 2, 23, 719. Prime factorization of 33074 in exponential form is:

33074 = 2¹ × 23¹ × 719¹

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 33074

List of positive integer factors of 33074 that divides 33074 without a remainder.

1, 2, 23, 46, 719, 1438, 16537

Step-4: Factors of 33085

List of positive integer factors of 33085 that divides 33074 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33074 and 33085. The biggest common factor number is the GCF number.
So the greatest common factor 33074 and 33085 is 1.

Also check out the Least Common Multiple of 33074 and 33085