What is the Greatest Common Factor of 70110 and 70123?

Greatest common factor (GCF) of 70110 and 70123 is 1.

GCF(70110,70123) = 1

We will now calculate the prime factors of 70110 and 70123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70110 and 70123.

How to find the GCF of 70110 and 70123?

We will first find the prime factorization of 70110 and 70123. After we will calculate the factors of 70110 and 70123 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 70123

Prime factors of 70123 are 70123. Prime factorization of 70123 in exponential form is:

70123 = 70123¹

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 70123

List of positive integer factors of 70123 that divides 70110 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70110 and 70123. The biggest common factor number is the GCF number.
So the greatest common factor 70110 and 70123 is 1.

Also check out the Least Common Multiple of 70110 and 70123