What is the Greatest Common Factor of 33714 and 33720?

Greatest common factor (GCF) of 33714 and 33720 is 6.

GCF(33714,33720) = 6

We will now calculate the prime factors of 33714 and 33720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33714 and 33720.

How to find the GCF of 33714 and 33720?

We will first find the prime factorization of 33714 and 33720. After we will calculate the factors of 33714 and 33720 and find the biggest common factor number .

Step-1: Prime Factorization of 33714

Prime factors of 33714 are 2, 3, 1873. Prime factorization of 33714 in exponential form is:

33714 = 2¹ × 3² × 1873¹

Step-2: Prime Factorization of 33720

Prime factors of 33720 are 2, 3, 5, 281. Prime factorization of 33720 in exponential form is:

33720 = 2³ × 3¹ × 5¹ × 281¹

Step-3: Factors of 33714

List of positive integer factors of 33714 that divides 33714 without a remainder.

1, 2, 3, 6, 9, 18, 1873, 3746, 5619, 11238, 16857

Step-4: Factors of 33720

List of positive integer factors of 33720 that divides 33714 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 281, 562, 843, 1124, 1405, 1686, 2248, 2810, 3372, 4215, 5620, 6744, 8430, 11240, 16860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33714 and 33720. The biggest common factor number is the GCF number.
So the greatest common factor 33714 and 33720 is 6.

Also check out the Least Common Multiple of 33714 and 33720