What is the Greatest Common Factor of 58214 and 58222?

Greatest common factor (GCF) of 58214 and 58222 is 2.

GCF(58214,58222) = 2

We will now calculate the prime factors of 58214 and 58222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58214 and 58222.

How to find the GCF of 58214 and 58222?

We will first find the prime factorization of 58214 and 58222. After we will calculate the factors of 58214 and 58222 and find the biggest common factor number .

Step-1: Prime Factorization of 58214

Prime factors of 58214 are 2, 13, 2239. Prime factorization of 58214 in exponential form is:

58214 = 2¹ × 13¹ × 2239¹

Step-2: Prime Factorization of 58222

Prime factors of 58222 are 2, 43, 677. Prime factorization of 58222 in exponential form is:

58222 = 2¹ × 43¹ × 677¹

Step-3: Factors of 58214

List of positive integer factors of 58214 that divides 58214 without a remainder.

1, 2, 13, 26, 2239, 4478, 29107

Step-4: Factors of 58222

List of positive integer factors of 58222 that divides 58214 without a remainder.

1, 2, 43, 86, 677, 1354, 29111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58214 and 58222. The biggest common factor number is the GCF number.
So the greatest common factor 58214 and 58222 is 2.

Also check out the Least Common Multiple of 58214 and 58222