What is the Greatest Common Factor of 50960 and 50968?

Greatest common factor (GCF) of 50960 and 50968 is 8.

GCF(50960,50968) = 8

We will now calculate the prime factors of 50960 and 50968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50960 and 50968.

How to find the GCF of 50960 and 50968?

We will first find the prime factorization of 50960 and 50968. After we will calculate the factors of 50960 and 50968 and find the biggest common factor number .

Step-1: Prime Factorization of 50960

Prime factors of 50960 are 2, 5, 7, 13. Prime factorization of 50960 in exponential form is:

50960 = 2⁴ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 50968

Prime factors of 50968 are 2, 23, 277. Prime factorization of 50968 in exponential form is:

50968 = 2³ × 23¹ × 277¹

Step-3: Factors of 50960

List of positive integer factors of 50960 that divides 50960 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 80, 91, 98, 104, 112, 130, 140, 182, 196, 208, 245, 260, 280, 364, 392, 455, 490, 520, 560, 637, 728, 784, 910, 980, 1040, 1274, 1456, 1820, 1960, 2548, 3185, 3640, 3920, 5096, 6370, 7280, 10192, 12740, 25480

Step-4: Factors of 50968

List of positive integer factors of 50968 that divides 50960 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 277, 554, 1108, 2216, 6371, 12742, 25484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50960 and 50968. The biggest common factor number is the GCF number.
So the greatest common factor 50960 and 50968 is 8.

Also check out the Least Common Multiple of 50960 and 50968