What is the Greatest Common Factor of 94990 and 95005?

Greatest common factor (GCF) of 94990 and 95005 is 5.

GCF(94990,95005) = 5

We will now calculate the prime factors of 94990 and 95005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94990 and 95005.

How to find the GCF of 94990 and 95005?

We will first find the prime factorization of 94990 and 95005. After we will calculate the factors of 94990 and 95005 and find the biggest common factor number .

Step-1: Prime Factorization of 94990

Prime factors of 94990 are 2, 5, 7, 23, 59. Prime factorization of 94990 in exponential form is:

94990 = 2¹ × 5¹ × 7¹ × 23¹ × 59¹

Step-2: Prime Factorization of 95005

Prime factors of 95005 are 5, 19001. Prime factorization of 95005 in exponential form is:

95005 = 5¹ × 19001¹

Step-3: Factors of 94990

List of positive integer factors of 94990 that divides 94990 without a remainder.

1, 2, 5, 7, 10, 14, 23, 35, 46, 59, 70, 115, 118, 161, 230, 295, 322, 413, 590, 805, 826, 1357, 1610, 2065, 2714, 4130, 6785, 9499, 13570, 18998, 47495

Step-4: Factors of 95005

List of positive integer factors of 95005 that divides 94990 without a remainder.

1, 5, 19001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94990 and 95005. The biggest common factor number is the GCF number.
So the greatest common factor 94990 and 95005 is 5.

Also check out the Least Common Multiple of 94990 and 95005