What is the Greatest Common Factor of 70110 and 70129?

Greatest common factor (GCF) of 70110 and 70129 is 19.

GCF(70110,70129) = 19

We will now calculate the prime factors of 70110 and 70129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70110 and 70129.

How to find the GCF of 70110 and 70129?

We will first find the prime factorization of 70110 and 70129. After we will calculate the factors of 70110 and 70129 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 70129

Prime factors of 70129 are 19, 3691. Prime factorization of 70129 in exponential form is:

70129 = 19¹ × 3691¹

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 70129

List of positive integer factors of 70129 that divides 70110 without a remainder.

1, 19, 3691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70110 and 70129. The biggest common factor number is the GCF number.
So the greatest common factor 70110 and 70129 is 19.

Also check out the Least Common Multiple of 70110 and 70129