What is the Greatest Common Factor of 33145 and 33150?

Greatest common factor (GCF) of 33145 and 33150 is 5.

GCF(33145,33150) = 5

We will now calculate the prime factors of 33145 and 33150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33145 and 33150.

How to find the GCF of 33145 and 33150?

We will first find the prime factorization of 33145 and 33150. After we will calculate the factors of 33145 and 33150 and find the biggest common factor number .

Step-1: Prime Factorization of 33145

Prime factors of 33145 are 5, 7, 947. Prime factorization of 33145 in exponential form is:

33145 = 5¹ × 7¹ × 947¹

Step-2: Prime Factorization of 33150

Prime factors of 33150 are 2, 3, 5, 13, 17. Prime factorization of 33150 in exponential form is:

33150 = 2¹ × 3¹ × 5² × 13¹ × 17¹

Step-3: Factors of 33145

List of positive integer factors of 33145 that divides 33145 without a remainder.

1, 5, 7, 35, 947, 4735, 6629

Step-4: Factors of 33150

List of positive integer factors of 33150 that divides 33145 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 17, 25, 26, 30, 34, 39, 50, 51, 65, 75, 78, 85, 102, 130, 150, 170, 195, 221, 255, 325, 390, 425, 442, 510, 650, 663, 850, 975, 1105, 1275, 1326, 1950, 2210, 2550, 3315, 5525, 6630, 11050, 16575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33145 and 33150. The biggest common factor number is the GCF number.
So the greatest common factor 33145 and 33150 is 5.

Also check out the Least Common Multiple of 33145 and 33150