What is the Greatest Common Factor of 94990 and 95000?

Greatest common factor (GCF) of 94990 and 95000 is 10.

GCF(94990,95000) = 10

We will now calculate the prime factors of 94990 and 95000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94990 and 95000.

How to find the GCF of 94990 and 95000?

We will first find the prime factorization of 94990 and 95000. After we will calculate the factors of 94990 and 95000 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 95000

Prime factors of 95000 are 2, 5, 19. Prime factorization of 95000 in exponential form is:

95000 = 2³ × 5⁴ × 19¹

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 95000

List of positive integer factors of 95000 that divides 94990 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 125, 152, 190, 200, 250, 380, 475, 500, 625, 760, 950, 1000, 1250, 1900, 2375, 2500, 3800, 4750, 5000, 9500, 11875, 19000, 23750, 47500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94990 and 95000. The biggest common factor number is the GCF number.
So the greatest common factor 94990 and 95000 is 10.

Also check out the Least Common Multiple of 94990 and 95000