What is the Greatest Common Factor of 67380 and 67384?

Greatest common factor (GCF) of 67380 and 67384 is 4.

GCF(67380,67384) = 4

We will now calculate the prime factors of 67380 and 67384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67380 and 67384.

How to find the GCF of 67380 and 67384?

We will first find the prime factorization of 67380 and 67384. After we will calculate the factors of 67380 and 67384 and find the biggest common factor number .

Step-1: Prime Factorization of 67380

Prime factors of 67380 are 2, 3, 5, 1123. Prime factorization of 67380 in exponential form is:

67380 = 2² × 3¹ × 5¹ × 1123¹

Step-2: Prime Factorization of 67384

Prime factors of 67384 are 2, 8423. Prime factorization of 67384 in exponential form is:

67384 = 2³ × 8423¹

Step-3: Factors of 67380

List of positive integer factors of 67380 that divides 67380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1123, 2246, 3369, 4492, 5615, 6738, 11230, 13476, 16845, 22460, 33690

Step-4: Factors of 67384

List of positive integer factors of 67384 that divides 67380 without a remainder.

1, 2, 4, 8, 8423, 16846, 33692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67380 and 67384. The biggest common factor number is the GCF number.
So the greatest common factor 67380 and 67384 is 4.

Also check out the Least Common Multiple of 67380 and 67384