What is the Greatest Common Factor of 68380 and 68384?

Greatest common factor (GCF) of 68380 and 68384 is 4.

GCF(68380,68384) = 4

We will now calculate the prime factors of 68380 and 68384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68380 and 68384.

How to find the GCF of 68380 and 68384?

We will first find the prime factorization of 68380 and 68384. After we will calculate the factors of 68380 and 68384 and find the biggest common factor number .

Step-1: Prime Factorization of 68380

Prime factors of 68380 are 2, 5, 13, 263. Prime factorization of 68380 in exponential form is:

68380 = 2² × 5¹ × 13¹ × 263¹

Step-2: Prime Factorization of 68384

Prime factors of 68384 are 2, 2137. Prime factorization of 68384 in exponential form is:

68384 = 2⁵ × 2137¹

Step-3: Factors of 68380

List of positive integer factors of 68380 that divides 68380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 263, 526, 1052, 1315, 2630, 3419, 5260, 6838, 13676, 17095, 34190

Step-4: Factors of 68384

List of positive integer factors of 68384 that divides 68380 without a remainder.

1, 2, 4, 8, 16, 32, 2137, 4274, 8548, 17096, 34192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68380 and 68384. The biggest common factor number is the GCF number.
So the greatest common factor 68380 and 68384 is 4.

Also check out the Least Common Multiple of 68380 and 68384