What is the Greatest Common Factor of 59470 and 59489?

Greatest common factor (GCF) of 59470 and 59489 is 19.

GCF(59470,59489) = 19

We will now calculate the prime factors of 59470 and 59489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59470 and 59489.

How to find the GCF of 59470 and 59489?

We will first find the prime factorization of 59470 and 59489. After we will calculate the factors of 59470 and 59489 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59489

Prime factors of 59489 are 19, 31, 101. Prime factorization of 59489 in exponential form is:

59489 = 19¹ × 31¹ × 101¹

Step-3: Factors of 59470

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

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

Step-4: Factors of 59489

List of positive integer factors of 59489 that divides 59470 without a remainder.

1, 19, 31, 101, 589, 1919, 3131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59470 and 59489. The biggest common factor number is the GCF number.
So the greatest common factor 59470 and 59489 is 19.

Also check out the Least Common Multiple of 59470 and 59489