What is the Greatest Common Factor of 33050 and 33070?

Greatest common factor (GCF) of 33050 and 33070 is 10.

GCF(33050,33070) = 10

We will now calculate the prime factors of 33050 and 33070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33050 and 33070.

How to find the GCF of 33050 and 33070?

We will first find the prime factorization of 33050 and 33070. After we will calculate the factors of 33050 and 33070 and find the biggest common factor number .

Step-1: Prime Factorization of 33050

Prime factors of 33050 are 2, 5, 661. Prime factorization of 33050 in exponential form is:

33050 = 2¹ × 5² × 661¹

Step-2: 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-3: Factors of 33050

List of positive integer factors of 33050 that divides 33050 without a remainder.

1, 2, 5, 10, 25, 50, 661, 1322, 3305, 6610, 16525

Step-4: Factors of 33070

List of positive integer factors of 33070 that divides 33050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33050 and 33070. The biggest common factor number is the GCF number.
So the greatest common factor 33050 and 33070 is 10.

Also check out the Least Common Multiple of 33050 and 33070