What is the Greatest Common Factor of 68380 and 68386?

Greatest common factor (GCF) of 68380 and 68386 is 2.

GCF(68380,68386) = 2

We will now calculate the prime factors of 68380 and 68386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68380 and 68386.

How to find the GCF of 68380 and 68386?

We will first find the prime factorization of 68380 and 68386. After we will calculate the factors of 68380 and 68386 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 68386

Prime factors of 68386 are 2, 31, 1103. Prime factorization of 68386 in exponential form is:

68386 = 2¹ × 31¹ × 1103¹

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 68386

List of positive integer factors of 68386 that divides 68380 without a remainder.

1, 2, 31, 62, 1103, 2206, 34193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68380 and 68386. The biggest common factor number is the GCF number.
So the greatest common factor 68380 and 68386 is 2.

Also check out the Least Common Multiple of 68380 and 68386