What is the Greatest Common Factor of 59444 and 59450?

Greatest common factor (GCF) of 59444 and 59450 is 2.

GCF(59444,59450) = 2

We will now calculate the prime factors of 59444 and 59450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59444 and 59450.

How to find the GCF of 59444 and 59450?

We will first find the prime factorization of 59444 and 59450. After we will calculate the factors of 59444 and 59450 and find the biggest common factor number .

Step-1: Prime Factorization of 59444

Prime factors of 59444 are 2, 7, 11, 193. Prime factorization of 59444 in exponential form is:

59444 = 2² × 7¹ × 11¹ × 193¹

Step-2: Prime Factorization of 59450

Prime factors of 59450 are 2, 5, 29, 41. Prime factorization of 59450 in exponential form is:

59450 = 2¹ × 5² × 29¹ × 41¹

Step-3: Factors of 59444

List of positive integer factors of 59444 that divides 59444 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 193, 308, 386, 772, 1351, 2123, 2702, 4246, 5404, 8492, 14861, 29722

Step-4: Factors of 59450

List of positive integer factors of 59450 that divides 59444 without a remainder.

1, 2, 5, 10, 25, 29, 41, 50, 58, 82, 145, 205, 290, 410, 725, 1025, 1189, 1450, 2050, 2378, 5945, 11890, 29725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59444 and 59450. The biggest common factor number is the GCF number.
So the greatest common factor 59444 and 59450 is 2.

Also check out the Least Common Multiple of 59444 and 59450