What is the Greatest Common Factor of 59450 and 59470?

Greatest common factor (GCF) of 59450 and 59470 is 10.

GCF(59450,59470) = 10

We will now calculate the prime factors of 59450 and 59470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59450 and 59470.

How to find the GCF of 59450 and 59470?

We will first find the prime factorization of 59450 and 59470. After we will calculate the factors of 59450 and 59470 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 59470

Prime factors of 59470 are 2, 5, 19, 313. Prime factorization of 59470 in exponential form is:

59470 = 2¹ × 5¹ × 19¹ × 313¹

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 59470

List of positive integer factors of 59470 that divides 59450 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 313, 626, 1565, 3130, 5947, 11894, 29735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59450 and 59470. The biggest common factor number is the GCF number.
So the greatest common factor 59450 and 59470 is 10.

Also check out the Least Common Multiple of 59450 and 59470