What is the Greatest Common Factor of 94975 and 94990?

Greatest common factor (GCF) of 94975 and 94990 is 5.

GCF(94975,94990) = 5

We will now calculate the prime factors of 94975 and 94990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94975 and 94990.

How to find the GCF of 94975 and 94990?

We will first find the prime factorization of 94975 and 94990. After we will calculate the factors of 94975 and 94990 and find the biggest common factor number .

Step-1: Prime Factorization of 94975

Prime factors of 94975 are 5, 29, 131. Prime factorization of 94975 in exponential form is:

94975 = 5² × 29¹ × 131¹

Step-2: 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-3: Factors of 94975

List of positive integer factors of 94975 that divides 94975 without a remainder.

1, 5, 25, 29, 131, 145, 655, 725, 3275, 3799, 18995

Step-4: Factors of 94990

List of positive integer factors of 94990 that divides 94975 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94975 and 94990. The biggest common factor number is the GCF number.
So the greatest common factor 94975 and 94990 is 5.

Also check out the Least Common Multiple of 94975 and 94990