What is the Greatest Common Factor of 48416 and 48431?

Greatest common factor (GCF) of 48416 and 48431 is 1.

GCF(48416,48431) = 1

We will now calculate the prime factors of 48416 and 48431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48416 and 48431.

How to find the GCF of 48416 and 48431?

We will first find the prime factorization of 48416 and 48431. After we will calculate the factors of 48416 and 48431 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 48431

Prime factors of 48431 are 19, 2549. Prime factorization of 48431 in exponential form is:

48431 = 19¹ × 2549¹

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 48431

List of positive integer factors of 48431 that divides 48416 without a remainder.

1, 19, 2549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48416 and 48431. The biggest common factor number is the GCF number.
So the greatest common factor 48416 and 48431 is 1.

Also check out the Least Common Multiple of 48416 and 48431