What is the Greatest Common Factor of 50960 and 50969?

Greatest common factor (GCF) of 50960 and 50969 is 1.

GCF(50960,50969) = 1

We will now calculate the prime factors of 50960 and 50969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50960 and 50969.

How to find the GCF of 50960 and 50969?

We will first find the prime factorization of 50960 and 50969. After we will calculate the factors of 50960 and 50969 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 50969

Prime factors of 50969 are 50969. Prime factorization of 50969 in exponential form is:

50969 = 50969¹

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 50969

List of positive integer factors of 50969 that divides 50960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50960 and 50969. The biggest common factor number is the GCF number.
So the greatest common factor 50960 and 50969 is 1.

Also check out the Least Common Multiple of 50960 and 50969