What is the Greatest Common Factor of 50960 and 50964?

Greatest common factor (GCF) of 50960 and 50964 is 4.

GCF(50960,50964) = 4

We will now calculate the prime factors of 50960 and 50964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50960 and 50964.

How to find the GCF of 50960 and 50964?

We will first find the prime factorization of 50960 and 50964. After we will calculate the factors of 50960 and 50964 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 50964

Prime factors of 50964 are 2, 3, 31, 137. Prime factorization of 50964 in exponential form is:

50964 = 2² × 3¹ × 31¹ × 137¹

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 50964

List of positive integer factors of 50964 that divides 50960 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 137, 186, 274, 372, 411, 548, 822, 1644, 4247, 8494, 12741, 16988, 25482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50960 and 50964. The biggest common factor number is the GCF number.
So the greatest common factor 50960 and 50964 is 4.

Also check out the Least Common Multiple of 50960 and 50964