What is the Greatest Common Factor of 48380 and 48386?

Greatest common factor (GCF) of 48380 and 48386 is 2.

GCF(48380,48386) = 2

We will now calculate the prime factors of 48380 and 48386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48380 and 48386.

How to find the GCF of 48380 and 48386?

We will first find the prime factorization of 48380 and 48386. After we will calculate the factors of 48380 and 48386 and find the biggest common factor number .

Step-1: Prime Factorization of 48380

Prime factors of 48380 are 2, 5, 41, 59. Prime factorization of 48380 in exponential form is:

48380 = 2² × 5¹ × 41¹ × 59¹

Step-2: Prime Factorization of 48386

Prime factors of 48386 are 2, 13, 1861. Prime factorization of 48386 in exponential form is:

48386 = 2¹ × 13¹ × 1861¹

Step-3: Factors of 48380

List of positive integer factors of 48380 that divides 48380 without a remainder.

1, 2, 4, 5, 10, 20, 41, 59, 82, 118, 164, 205, 236, 295, 410, 590, 820, 1180, 2419, 4838, 9676, 12095, 24190

Step-4: Factors of 48386

List of positive integer factors of 48386 that divides 48380 without a remainder.

1, 2, 13, 26, 1861, 3722, 24193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48380 and 48386. The biggest common factor number is the GCF number.
So the greatest common factor 48380 and 48386 is 2.

Also check out the Least Common Multiple of 48380 and 48386