What is the Greatest Common Factor of 94001 and 94005?

Greatest common factor (GCF) of 94001 and 94005 is 1.

GCF(94001,94005) = 1

We will now calculate the prime factors of 94001 and 94005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94001 and 94005.

How to find the GCF of 94001 and 94005?

We will first find the prime factorization of 94001 and 94005. After we will calculate the factors of 94001 and 94005 and find the biggest common factor number .

Step-1: Prime Factorization of 94001

Prime factors of 94001 are 23, 61, 67. Prime factorization of 94001 in exponential form is:

94001 = 23¹ × 61¹ × 67¹

Step-2: Prime Factorization of 94005

Prime factors of 94005 are 3, 5, 2089. Prime factorization of 94005 in exponential form is:

94005 = 3² × 5¹ × 2089¹

Step-3: Factors of 94001

List of positive integer factors of 94001 that divides 94001 without a remainder.

1, 23, 61, 67, 1403, 1541, 4087

Step-4: Factors of 94005

List of positive integer factors of 94005 that divides 94001 without a remainder.

1, 3, 5, 9, 15, 45, 2089, 6267, 10445, 18801, 31335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94001 and 94005. The biggest common factor number is the GCF number.
So the greatest common factor 94001 and 94005 is 1.

Also check out the Least Common Multiple of 94001 and 94005