What is the Greatest Common Factor of 33140 and 33156?

Greatest common factor (GCF) of 33140 and 33156 is 4.

GCF(33140,33156) = 4

We will now calculate the prime factors of 33140 and 33156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33140 and 33156.

How to find the GCF of 33140 and 33156?

We will first find the prime factorization of 33140 and 33156. After we will calculate the factors of 33140 and 33156 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 33156

Prime factors of 33156 are 2, 3, 307. Prime factorization of 33156 in exponential form is:

33156 = 2² × 3³ × 307¹

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 33156

List of positive integer factors of 33156 that divides 33140 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 8289, 11052, 16578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33140 and 33156. The biggest common factor number is the GCF number.
So the greatest common factor 33140 and 33156 is 4.

Also check out the Least Common Multiple of 33140 and 33156