What is the Greatest Common Factor of 50648 and 50656?

Greatest common factor (GCF) of 50648 and 50656 is 8.

GCF(50648,50656) = 8

We will now calculate the prime factors of 50648 and 50656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50648 and 50656.

How to find the GCF of 50648 and 50656?

We will first find the prime factorization of 50648 and 50656. After we will calculate the factors of 50648 and 50656 and find the biggest common factor number .

Step-1: Prime Factorization of 50648

Prime factors of 50648 are 2, 13, 487. Prime factorization of 50648 in exponential form is:

50648 = 2³ × 13¹ × 487¹

Step-2: Prime Factorization of 50656

Prime factors of 50656 are 2, 1583. Prime factorization of 50656 in exponential form is:

50656 = 2⁵ × 1583¹

Step-3: Factors of 50648

List of positive integer factors of 50648 that divides 50648 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 487, 974, 1948, 3896, 6331, 12662, 25324

Step-4: Factors of 50656

List of positive integer factors of 50656 that divides 50648 without a remainder.

1, 2, 4, 8, 16, 32, 1583, 3166, 6332, 12664, 25328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50648 and 50656. The biggest common factor number is the GCF number.
So the greatest common factor 50648 and 50656 is 8.

Also check out the Least Common Multiple of 50648 and 50656