What is the Greatest Common Factor of 58007 and 58020?

Greatest common factor (GCF) of 58007 and 58020 is 1.

GCF(58007,58020) = 1

We will now calculate the prime factors of 58007 and 58020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58007 and 58020.

How to find the GCF of 58007 and 58020?

We will first find the prime factorization of 58007 and 58020. After we will calculate the factors of 58007 and 58020 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 58020

Prime factors of 58020 are 2, 3, 5, 967. Prime factorization of 58020 in exponential form is:

58020 = 2² × 3¹ × 5¹ × 967¹

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 58020

List of positive integer factors of 58020 that divides 58007 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 967, 1934, 2901, 3868, 4835, 5802, 9670, 11604, 14505, 19340, 29010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58007 and 58020. The biggest common factor number is the GCF number.
So the greatest common factor 58007 and 58020 is 1.

Also check out the Least Common Multiple of 58007 and 58020