What is the Greatest Common Factor of 67380 and 67400?

Greatest common factor (GCF) of 67380 and 67400 is 20.

GCF(67380,67400) = 20

We will now calculate the prime factors of 67380 and 67400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67380 and 67400.

How to find the GCF of 67380 and 67400?

We will first find the prime factorization of 67380 and 67400. After we will calculate the factors of 67380 and 67400 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 67400

Prime factors of 67400 are 2, 5, 337. Prime factorization of 67400 in exponential form is:

67400 = 2³ × 5² × 337¹

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 67400

List of positive integer factors of 67400 that divides 67380 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 337, 674, 1348, 1685, 2696, 3370, 6740, 8425, 13480, 16850, 33700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67380 and 67400. The biggest common factor number is the GCF number.
So the greatest common factor 67380 and 67400 is 20.

Also check out the Least Common Multiple of 67380 and 67400