What is the Greatest Common Factor of 70101 and 70110?

Greatest common factor (GCF) of 70101 and 70110 is 9.

GCF(70101,70110) = 9

We will now calculate the prime factors of 70101 and 70110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70101 and 70110.

How to find the GCF of 70101 and 70110?

We will first find the prime factorization of 70101 and 70110. After we will calculate the factors of 70101 and 70110 and find the biggest common factor number .

Step-1: Prime Factorization of 70101

Prime factors of 70101 are 3, 7789. Prime factorization of 70101 in exponential form is:

70101 = 3² × 7789¹

Step-2: 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-3: Factors of 70101

List of positive integer factors of 70101 that divides 70101 without a remainder.

1, 3, 9, 7789, 23367

Step-4: Factors of 70110

List of positive integer factors of 70110 that divides 70101 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70101 and 70110. The biggest common factor number is the GCF number.
So the greatest common factor 70101 and 70110 is 9.

Also check out the Least Common Multiple of 70101 and 70110