What is the Greatest Common Factor of 33140 and 33150?

Greatest common factor (GCF) of 33140 and 33150 is 10.

GCF(33140,33150) = 10

We will now calculate the prime factors of 33140 and 33150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33140 and 33150.

How to find the GCF of 33140 and 33150?

We will first find the prime factorization of 33140 and 33150. After we will calculate the factors of 33140 and 33150 and find the biggest common factor number .

Step-1: Prime Factorization of 33140

Prime factors of 33140 are 2, 5, 1657. Prime factorization of 33140 in exponential form is:

33140 = 2² × 5¹ × 1657¹

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 33140

List of positive integer factors of 33140 that divides 33140 without a remainder.

1, 2, 4, 5, 10, 20, 1657, 3314, 6628, 8285, 16570

Step-4: Factors of 33150

List of positive integer factors of 33150 that divides 33140 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 33140 and 33150. The biggest common factor number is the GCF number.
So the greatest common factor 33140 and 33150 is 10.

Also check out the Least Common Multiple of 33140 and 33150