What is the Greatest Common Factor of 58082 and 58090?

Greatest common factor (GCF) of 58082 and 58090 is 2.

GCF(58082,58090) = 2

We will now calculate the prime factors of 58082 and 58090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58082 and 58090.

How to find the GCF of 58082 and 58090?

We will first find the prime factorization of 58082 and 58090. After we will calculate the factors of 58082 and 58090 and find the biggest common factor number .

Step-1: Prime Factorization of 58082

Prime factors of 58082 are 2, 113, 257. Prime factorization of 58082 in exponential form is:

58082 = 2¹ × 113¹ × 257¹

Step-2: Prime Factorization of 58090

Prime factors of 58090 are 2, 5, 37, 157. Prime factorization of 58090 in exponential form is:

58090 = 2¹ × 5¹ × 37¹ × 157¹

Step-3: Factors of 58082

List of positive integer factors of 58082 that divides 58082 without a remainder.

1, 2, 113, 226, 257, 514, 29041

Step-4: Factors of 58090

List of positive integer factors of 58090 that divides 58082 without a remainder.

1, 2, 5, 10, 37, 74, 157, 185, 314, 370, 785, 1570, 5809, 11618, 29045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58082 and 58090. The biggest common factor number is the GCF number.
So the greatest common factor 58082 and 58090 is 2.

Also check out the Least Common Multiple of 58082 and 58090