What is the Greatest Common Factor of 58007 and 58026?

Greatest common factor (GCF) of 58007 and 58026 is 19.

GCF(58007,58026) = 19

We will now calculate the prime factors of 58007 and 58026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58007 and 58026.

How to find the GCF of 58007 and 58026?

We will first find the prime factorization of 58007 and 58026. After we will calculate the factors of 58007 and 58026 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 58026

Prime factors of 58026 are 2, 3, 19, 509. Prime factorization of 58026 in exponential form is:

58026 = 2¹ × 3¹ × 19¹ × 509¹

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 58026

List of positive integer factors of 58026 that divides 58007 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 509, 1018, 1527, 3054, 9671, 19342, 29013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58007 and 58026. The biggest common factor number is the GCF number.
So the greatest common factor 58007 and 58026 is 19.

Also check out the Least Common Multiple of 58007 and 58026