What is the Greatest Common Factor of 48398 and 48416?

Greatest common factor (GCF) of 48398 and 48416 is 2.

GCF(48398,48416) = 2

We will now calculate the prime factors of 48398 and 48416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48398 and 48416.

How to find the GCF of 48398 and 48416?

We will first find the prime factorization of 48398 and 48416. After we will calculate the factors of 48398 and 48416 and find the biggest common factor number .

Step-1: Prime Factorization of 48398

Prime factors of 48398 are 2, 7, 3457. Prime factorization of 48398 in exponential form is:

48398 = 2¹ × 7¹ × 3457¹

Step-2: Prime Factorization of 48416

Prime factors of 48416 are 2, 17, 89. Prime factorization of 48416 in exponential form is:

48416 = 2⁵ × 17¹ × 89¹

Step-3: Factors of 48398

List of positive integer factors of 48398 that divides 48398 without a remainder.

1, 2, 7, 14, 3457, 6914, 24199

Step-4: Factors of 48416

List of positive integer factors of 48416 that divides 48398 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 89, 136, 178, 272, 356, 544, 712, 1424, 1513, 2848, 3026, 6052, 12104, 24208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48398 and 48416. The biggest common factor number is the GCF number.
So the greatest common factor 48398 and 48416 is 2.

Also check out the Least Common Multiple of 48398 and 48416