What is the Greatest Common Factor of 70110 and 70125?

Greatest common factor (GCF) of 70110 and 70125 is 15.

GCF(70110,70125) = 15

We will now calculate the prime factors of 70110 and 70125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70110 and 70125.

How to find the GCF of 70110 and 70125?

We will first find the prime factorization of 70110 and 70125. After we will calculate the factors of 70110 and 70125 and find the biggest common factor number .

Step-1: Prime Factorization of 70110

Prime factors of 70110 are 2, 3, 5, 19, 41. Prime factorization of 70110 in exponential form is:

70110 = 2¹ × 3² × 5¹ × 19¹ × 41¹

Step-2: Prime Factorization of 70125

Prime factors of 70125 are 3, 5, 11, 17. Prime factorization of 70125 in exponential form is:

70125 = 3¹ × 5³ × 11¹ × 17¹

Step-3: Factors of 70110

List of positive integer factors of 70110 that divides 70110 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 41, 45, 57, 82, 90, 95, 114, 123, 171, 190, 205, 246, 285, 342, 369, 410, 570, 615, 738, 779, 855, 1230, 1558, 1710, 1845, 2337, 3690, 3895, 4674, 7011, 7790, 11685, 14022, 23370, 35055

Step-4: Factors of 70125

List of positive integer factors of 70125 that divides 70110 without a remainder.

1, 3, 5, 11, 15, 17, 25, 33, 51, 55, 75, 85, 125, 165, 187, 255, 275, 375, 425, 561, 825, 935, 1275, 1375, 2125, 2805, 4125, 4675, 6375, 14025, 23375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70110 and 70125. The biggest common factor number is the GCF number.
So the greatest common factor 70110 and 70125 is 15.

Also check out the Least Common Multiple of 70110 and 70125