What is the Greatest Common Factor of 50448 and 50464?

Greatest common factor (GCF) of 50448 and 50464 is 16.

GCF(50448,50464) = 16

We will now calculate the prime factors of 50448 and 50464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50448 and 50464.

How to find the GCF of 50448 and 50464?

We will first find the prime factorization of 50448 and 50464. After we will calculate the factors of 50448 and 50464 and find the biggest common factor number .

Step-1: Prime Factorization of 50448

Prime factors of 50448 are 2, 3, 1051. Prime factorization of 50448 in exponential form is:

50448 = 2⁴ × 3¹ × 1051¹

Step-2: Prime Factorization of 50464

Prime factors of 50464 are 2, 19, 83. Prime factorization of 50464 in exponential form is:

50464 = 2⁵ × 19¹ × 83¹

Step-3: Factors of 50448

List of positive integer factors of 50448 that divides 50448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1051, 2102, 3153, 4204, 6306, 8408, 12612, 16816, 25224

Step-4: Factors of 50464

List of positive integer factors of 50464 that divides 50448 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 83, 152, 166, 304, 332, 608, 664, 1328, 1577, 2656, 3154, 6308, 12616, 25232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50448 and 50464. The biggest common factor number is the GCF number.
So the greatest common factor 50448 and 50464 is 16.

Also check out the Least Common Multiple of 50448 and 50464