What is the Greatest Common Factor of 48404 and 48422?

Greatest common factor (GCF) of 48404 and 48422 is 2.

GCF(48404,48422) = 2

We will now calculate the prime factors of 48404 and 48422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48404 and 48422.

How to find the GCF of 48404 and 48422?

We will first find the prime factorization of 48404 and 48422. After we will calculate the factors of 48404 and 48422 and find the biggest common factor number .

Step-1: Prime Factorization of 48404

Prime factors of 48404 are 2, 12101. Prime factorization of 48404 in exponential form is:

48404 = 2² × 12101¹

Step-2: Prime Factorization of 48422

Prime factors of 48422 are 2, 11, 31, 71. Prime factorization of 48422 in exponential form is:

48422 = 2¹ × 11¹ × 31¹ × 71¹

Step-3: Factors of 48404

List of positive integer factors of 48404 that divides 48404 without a remainder.

1, 2, 4, 12101, 24202

Step-4: Factors of 48422

List of positive integer factors of 48422 that divides 48404 without a remainder.

1, 2, 11, 22, 31, 62, 71, 142, 341, 682, 781, 1562, 2201, 4402, 24211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48404 and 48422. The biggest common factor number is the GCF number.
So the greatest common factor 48404 and 48422 is 2.

Also check out the Least Common Multiple of 48404 and 48422