What is the Greatest Common Factor of 94005 and 94010?

Greatest common factor (GCF) of 94005 and 94010 is 5.

GCF(94005,94010) = 5

We will now calculate the prime factors of 94005 and 94010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94005 and 94010.

How to find the GCF of 94005 and 94010?

We will first find the prime factorization of 94005 and 94010. After we will calculate the factors of 94005 and 94010 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94010

Prime factors of 94010 are 2, 5, 7, 17, 79. Prime factorization of 94010 in exponential form is:

94010 = 2¹ × 5¹ × 7¹ × 17¹ × 79¹

Step-3: Factors of 94005

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

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

Step-4: Factors of 94010

List of positive integer factors of 94010 that divides 94005 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 79, 85, 119, 158, 170, 238, 395, 553, 595, 790, 1106, 1190, 1343, 2686, 2765, 5530, 6715, 9401, 13430, 18802, 47005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94005 and 94010. The biggest common factor number is the GCF number.
So the greatest common factor 94005 and 94010 is 5.

Also check out the Least Common Multiple of 94005 and 94010