What is the Greatest Common Factor of 48422 and 48436?

Greatest common factor (GCF) of 48422 and 48436 is 2.

GCF(48422,48436) = 2

We will now calculate the prime factors of 48422 and 48436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48422 and 48436.

How to find the GCF of 48422 and 48436?

We will first find the prime factorization of 48422 and 48436. After we will calculate the factors of 48422 and 48436 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 48436

Prime factors of 48436 are 2, 12109. Prime factorization of 48436 in exponential form is:

48436 = 2² × 12109¹

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 48436

List of positive integer factors of 48436 that divides 48422 without a remainder.

1, 2, 4, 12109, 24218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48422 and 48436. The biggest common factor number is the GCF number.
So the greatest common factor 48422 and 48436 is 2.

Also check out the Least Common Multiple of 48422 and 48436