What is the Greatest Common Factor of 70091 and 70110?

Greatest common factor (GCF) of 70091 and 70110 is 19.

GCF(70091,70110) = 19

We will now calculate the prime factors of 70091 and 70110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70091 and 70110.

How to find the GCF of 70091 and 70110?

We will first find the prime factorization of 70091 and 70110. After we will calculate the factors of 70091 and 70110 and find the biggest common factor number .

Step-1: Prime Factorization of 70091

Prime factors of 70091 are 7, 17, 19, 31. Prime factorization of 70091 in exponential form is:

70091 = 7¹ × 17¹ × 19¹ × 31¹

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 70091

List of positive integer factors of 70091 that divides 70091 without a remainder.

1, 7, 17, 19, 31, 119, 133, 217, 323, 527, 589, 2261, 3689, 4123, 10013

Step-4: Factors of 70110

List of positive integer factors of 70110 that divides 70091 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 70091 and 70110. The biggest common factor number is the GCF number.
So the greatest common factor 70091 and 70110 is 19.

Also check out the Least Common Multiple of 70091 and 70110