What is the Greatest Common Factor of 58083 and 58090?

Greatest common factor (GCF) of 58083 and 58090 is 1.

GCF(58083,58090) = 1

We will now calculate the prime factors of 58083 and 58090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58083 and 58090.

How to find the GCF of 58083 and 58090?

We will first find the prime factorization of 58083 and 58090. After we will calculate the factors of 58083 and 58090 and find the biggest common factor number .

Step-1: Prime Factorization of 58083

Prime factors of 58083 are 3, 19, 1019. Prime factorization of 58083 in exponential form is:

58083 = 3¹ × 19¹ × 1019¹

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 58083

List of positive integer factors of 58083 that divides 58083 without a remainder.

1, 3, 19, 57, 1019, 3057, 19361

Step-4: Factors of 58090

List of positive integer factors of 58090 that divides 58083 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 58083 and 58090. The biggest common factor number is the GCF number.
So the greatest common factor 58083 and 58090 is 1.

Also check out the Least Common Multiple of 58083 and 58090