What is the Greatest Common Factor of 48422 and 48433?

Greatest common factor (GCF) of 48422 and 48433 is 11.

GCF(48422,48433) = 11

We will now calculate the prime factors of 48422 and 48433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48422 and 48433.

How to find the GCF of 48422 and 48433?

We will first find the prime factorization of 48422 and 48433. After we will calculate the factors of 48422 and 48433 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48433

Prime factors of 48433 are 7, 11, 17, 37. Prime factorization of 48433 in exponential form is:

48433 = 7¹ × 11¹ × 17¹ × 37¹

Step-3: Factors of 48422

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

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

Step-4: Factors of 48433

List of positive integer factors of 48433 that divides 48422 without a remainder.

1, 7, 11, 17, 37, 77, 119, 187, 259, 407, 629, 1309, 2849, 4403, 6919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48422 and 48433. The biggest common factor number is the GCF number.
So the greatest common factor 48422 and 48433 is 11.

Also check out the Least Common Multiple of 48422 and 48433