What is the Greatest Common Factor of 48416 and 48424?

Greatest common factor (GCF) of 48416 and 48424 is 8.

GCF(48416,48424) = 8

We will now calculate the prime factors of 48416 and 48424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48416 and 48424.

How to find the GCF of 48416 and 48424?

We will first find the prime factorization of 48416 and 48424. After we will calculate the factors of 48416 and 48424 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48424

Prime factors of 48424 are 2, 6053. Prime factorization of 48424 in exponential form is:

48424 = 2³ × 6053¹

Step-3: Factors of 48416

List of positive integer factors of 48416 that divides 48416 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

Step-4: Factors of 48424

List of positive integer factors of 48424 that divides 48416 without a remainder.

1, 2, 4, 8, 6053, 12106, 24212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48416 and 48424. The biggest common factor number is the GCF number.
So the greatest common factor 48416 and 48424 is 8.

Also check out the Least Common Multiple of 48416 and 48424