What is the Greatest Common Factor of 59450 and 59454?

Greatest common factor (GCF) of 59450 and 59454 is 2.

GCF(59450,59454) = 2

We will now calculate the prime factors of 59450 and 59454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59450 and 59454.

How to find the GCF of 59450 and 59454?

We will first find the prime factorization of 59450 and 59454. After we will calculate the factors of 59450 and 59454 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59454

Prime factors of 59454 are 2, 3, 367. Prime factorization of 59454 in exponential form is:

59454 = 2¹ × 3⁴ × 367¹

Step-3: Factors of 59450

List of positive integer factors of 59450 that divides 59450 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

Step-4: Factors of 59454

List of positive integer factors of 59454 that divides 59450 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 367, 734, 1101, 2202, 3303, 6606, 9909, 19818, 29727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59450 and 59454. The biggest common factor number is the GCF number.
So the greatest common factor 59450 and 59454 is 2.

Also check out the Least Common Multiple of 59450 and 59454