What is the Greatest Common Factor of 93009 and 93023?

Greatest common factor (GCF) of 93009 and 93023 is 7.

GCF(93009,93023) = 7

We will now calculate the prime factors of 93009 and 93023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93009 and 93023.

How to find the GCF of 93009 and 93023?

We will first find the prime factorization of 93009 and 93023. After we will calculate the factors of 93009 and 93023 and find the biggest common factor number .

Step-1: Prime Factorization of 93009

Prime factors of 93009 are 3, 7, 43, 103. Prime factorization of 93009 in exponential form is:

93009 = 3¹ × 7¹ × 43¹ × 103¹

Step-2: Prime Factorization of 93023

Prime factors of 93023 are 7, 97, 137. Prime factorization of 93023 in exponential form is:

93023 = 7¹ × 97¹ × 137¹

Step-3: Factors of 93009

List of positive integer factors of 93009 that divides 93009 without a remainder.

1, 3, 7, 21, 43, 103, 129, 301, 309, 721, 903, 2163, 4429, 13287, 31003

Step-4: Factors of 93023

List of positive integer factors of 93023 that divides 93009 without a remainder.

1, 7, 97, 137, 679, 959, 13289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93009 and 93023. The biggest common factor number is the GCF number.
So the greatest common factor 93009 and 93023 is 7.

Also check out the Least Common Multiple of 93009 and 93023