What is the Greatest Common Factor of 70870 and 70889?

Greatest common factor (GCF) of 70870 and 70889 is 19.

GCF(70870,70889) = 19

We will now calculate the prime factors of 70870 and 70889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70870 and 70889.

How to find the GCF of 70870 and 70889?

We will first find the prime factorization of 70870 and 70889. After we will calculate the factors of 70870 and 70889 and find the biggest common factor number .

Step-1: Prime Factorization of 70870

Prime factors of 70870 are 2, 5, 19, 373. Prime factorization of 70870 in exponential form is:

70870 = 2¹ × 5¹ × 19¹ × 373¹

Step-2: Prime Factorization of 70889

Prime factors of 70889 are 7, 13, 19, 41. Prime factorization of 70889 in exponential form is:

70889 = 7¹ × 13¹ × 19¹ × 41¹

Step-3: Factors of 70870

List of positive integer factors of 70870 that divides 70870 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 373, 746, 1865, 3730, 7087, 14174, 35435

Step-4: Factors of 70889

List of positive integer factors of 70889 that divides 70870 without a remainder.

1, 7, 13, 19, 41, 91, 133, 247, 287, 533, 779, 1729, 3731, 5453, 10127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70870 and 70889. The biggest common factor number is the GCF number.
So the greatest common factor 70870 and 70889 is 19.

Also check out the Least Common Multiple of 70870 and 70889