What is the Greatest Common Factor of 58219 and 58226?

Greatest common factor (GCF) of 58219 and 58226 is 7.

GCF(58219,58226) = 7

We will now calculate the prime factors of 58219 and 58226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58219 and 58226.

How to find the GCF of 58219 and 58226?

We will first find the prime factorization of 58219 and 58226. After we will calculate the factors of 58219 and 58226 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 58226

Prime factors of 58226 are 2, 7, 4159. Prime factorization of 58226 in exponential form is:

58226 = 2¹ × 7¹ × 4159¹

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 58226

List of positive integer factors of 58226 that divides 58219 without a remainder.

1, 2, 7, 14, 4159, 8318, 29113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58219 and 58226. The biggest common factor number is the GCF number.
So the greatest common factor 58219 and 58226 is 7.

Also check out the Least Common Multiple of 58219 and 58226