What is the Greatest Common Factor of 70872 and 70889?

Greatest common factor (GCF) of 70872 and 70889 is 1.

GCF(70872,70889) = 1

We will now calculate the prime factors of 70872 and 70889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70872 and 70889.

How to find the GCF of 70872 and 70889?

We will first find the prime factorization of 70872 and 70889. After we will calculate the factors of 70872 and 70889 and find the biggest common factor number .

Step-1: Prime Factorization of 70872

Prime factors of 70872 are 2, 3, 2953. Prime factorization of 70872 in exponential form is:

70872 = 2³ × 3¹ × 2953¹

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 70872

List of positive integer factors of 70872 that divides 70872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2953, 5906, 8859, 11812, 17718, 23624, 35436

Step-4: Factors of 70889

List of positive integer factors of 70889 that divides 70872 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 70872 and 70889. The biggest common factor number is the GCF number.
So the greatest common factor 70872 and 70889 is 1.

Also check out the Least Common Multiple of 70872 and 70889