What is the Greatest Common Factor of 58007 and 58023?

Greatest common factor (GCF) of 58007 and 58023 is 1.

GCF(58007,58023) = 1

We will now calculate the prime factors of 58007 and 58023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58007 and 58023.

How to find the GCF of 58007 and 58023?

We will first find the prime factorization of 58007 and 58023. After we will calculate the factors of 58007 and 58023 and find the biggest common factor number .

Step-1: Prime Factorization of 58007

Prime factors of 58007 are 19, 43, 71. Prime factorization of 58007 in exponential form is:

58007 = 19¹ × 43¹ × 71¹

Step-2: Prime Factorization of 58023

Prime factors of 58023 are 3, 7, 307. Prime factorization of 58023 in exponential form is:

58023 = 3³ × 7¹ × 307¹

Step-3: Factors of 58007

List of positive integer factors of 58007 that divides 58007 without a remainder.

1, 19, 43, 71, 817, 1349, 3053

Step-4: Factors of 58023

List of positive integer factors of 58023 that divides 58007 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 307, 921, 2149, 2763, 6447, 8289, 19341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58007 and 58023. The biggest common factor number is the GCF number.
So the greatest common factor 58007 and 58023 is 1.

Also check out the Least Common Multiple of 58007 and 58023