What is the Greatest Common Factor of 58219 and 58225?

Greatest common factor (GCF) of 58219 and 58225 is 1.

GCF(58219,58225) = 1

We will now calculate the prime factors of 58219 and 58225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58219 and 58225.

How to find the GCF of 58219 and 58225?

We will first find the prime factorization of 58219 and 58225. After we will calculate the factors of 58219 and 58225 and find the biggest common factor number .

Step-1: Prime Factorization of 58219

Prime factors of 58219 are 7, 8317. Prime factorization of 58219 in exponential form is:

58219 = 7¹ × 8317¹

Step-2: Prime Factorization of 58225

Prime factors of 58225 are 5, 17, 137. Prime factorization of 58225 in exponential form is:

58225 = 5² × 17¹ × 137¹

Step-3: Factors of 58219

List of positive integer factors of 58219 that divides 58219 without a remainder.

1, 7, 8317

Step-4: Factors of 58225

List of positive integer factors of 58225 that divides 58219 without a remainder.

1, 5, 17, 25, 85, 137, 425, 685, 2329, 3425, 11645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58219 and 58225. The biggest common factor number is the GCF number.
So the greatest common factor 58219 and 58225 is 1.

Also check out the Least Common Multiple of 58219 and 58225